Relevant bibliographies by topics / Integral operator algebras

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Integral operator algebras'

Author: Grafiati
Published: 2 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Integral operator algebras"

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Pavlakos, Panaiotis K. "Integral representation theorems in partially ordered vector spaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 51, no. 2 (1991): 187–215. http://dx.doi.org/10.1017/s1446788700034194.

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AbstractDefining a Radon-type integration process we extend the Alexandroff, Fichtengolts-KantorovichHildebrandt and Riesz integral representation theorems in partially ordered vector spaces.We also identify some classes of operators with other classes of operator-valued set functions, the correspondence between operator and operator-valued set function being given by integration.All these established results can be immediately applied in C* -algebras (especially in W* -algebras and AW* -algebras of type I), in Jordan algebras, in partially ordered involutory (O*-)algebras, in semifields, in q
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CASTRO, OSVALDO OSUNA, та ELMAR WAGNER. "AN OPERATOR-THEORETIC APPROACH TO INVARIANT INTEGRALS ON QUANTUM HOMOGENEOUS SLn+1(ℝ)-SPACES". International Journal of Geometric Methods in Modern Physics 09, № 01 (2012): 1250012. http://dx.doi.org/10.1142/s0219887812500120.

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We present other examples illustrating the operator-theoretic approach to invariant integrals on quantum homogeneous spaces developed by Kürsten and the second author. The quantum spaces are chosen such that their coordinate algebras do not admit bounded Hilbert space representations and their self-adjoint generators have continuous spectrum. Operator algebras of trace class operators are associated to the coordinate algebras which allow interpretations as rapidly decreasing functions and as finite functions. The invariant integral is defined as a trace functional which generalizes the well-kn
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Quinn, Terrance. "Products of Decomposable Positive Operators." Canadian Journal of Mathematics 46, no. 4 (1994): 854–71. http://dx.doi.org/10.4153/cjm-1994-048-4.

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AbstractIn recent years there has been a growing interest in problems of factorization for bounded linear operators. We first show that many of these problems properly belong to the category of C*-algebras. With this interpretation, it becomes evident that the problem is fundamental both to the structure of operator algebras and the elements therein. In this paper we consider the direct integral algebra with separable and infinite dimensional. We generalize a theorem of Wu (1988) and characterize those decomposable operators which are products of non-negative decomposable operators. We do this
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Wang, Zhongwei, Zhen Guan, Yi Zhang, and Liangyun Zhang. "Rota–Baxter Operators on Cocommutative Weak Hopf Algebras." Mathematics 10, no. 1 (2021): 95. http://dx.doi.org/10.3390/math10010095.

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In this paper, we first introduce the concept of a Rota–Baxter operator on a cocommutative weak Hopf algebra H and give some examples. We then construct Rota–Baxter operators from the normalized integral, antipode, and target map of H. Moreover, we construct a new multiplication “∗” and an antipode SB from a Rota–Baxter operator B on H such that HB=(H,∗,η,Δ,ε,SB) becomes a new weak Hopf algebra. Finally, all Rota–Baxter operators on a weak Hopf algebra of a matrix algebra are given.
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Kalitvin, A. S., and V. A. Kalitvin. "Linear Operators and Equations with Partial Integrals." Contemporary Mathematics. Fundamental Directions 65, no. 3 (2019): 390–433. http://dx.doi.org/10.22363/2413-3639-2019-65-3-390-433.

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We consider linear operators and equations with partial integrals in Banach ideal spaces, spaces of vector functions, and spaces of continuous functions. We study the action, regularity, duality, algebras, Fredholm properties, invertibility, and spectral properties of such operators. We describe principal properties of linear equations with partial integrals. We show that such equations are essentially different compared to usual integral equations. We obtain conditions for the Fredholm alternative, conditions for zero spectral radius of the Volterra operator with partial integrals, and constru
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Nikitopoulos, Evangelos A. "Multiple operator integrals in non-separable von Neumann algebras." Journal of Operator Theory 89, no. 2 (2023): 361–427. https://doi.org/10.7900/jot.2021aug19.2357.

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A multiple operator integral (MOI) is an indispensable tool in several branches of noncommutative analysis. However, there are substantial technical issues with the existing literature on the ``separation of variables'' approach to defining MOIs, especially when the underlying Hilbert spaces are not separable. In this paper, we provide a detailed development of this approach in a very general setting that resolves existing technical issues. Along the way, we characterize several kinds of ``weak'' operator valued integrals in terms of easily checkable conditions and prove a useful Minkowski-typ
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Casper, W. Riley, and Milen T. Yakimov. "Integral operators, bispectrality and growth of Fourier algebras." Journal für die reine und angewandte Mathematik (Crelles Journal) 2020, no. 766 (2020): 151–94. http://dx.doi.org/10.1515/crelle-2019-0031.

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AbstractIn the mid 1980s it was conjectured that every bispectral meromorphic function {\psi(x,y)} gives rise to an integral operator {K_{\psi}(x,y)} which possesses a commuting differential operator. This has been verified by a direct computation for several families of functions {\psi(x,y)} where the commuting differential operator is of order {\leq 6}. We prove a general version of this conjecture for all self-adjoint bispectral functions of rank 1 and all self-adjoint bispectral Darboux transformations of the rank 2 Bessel and Airy functions. The method is based on a theorem giving an exac
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Hashem, H. H. G. "Solvability of a 2 x 2 block operator matrix of chandrasekhar type on a Bananch algebra." Filomat 31, no. 16 (2017): 5169–75. http://dx.doi.org/10.2298/fil1716169h.

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In this paper, we study the existence of solutions for a system of quadratic integral equations of Chandrasekhar type by applying fixed point theorem of a 2 x 2 block operator matrix defined on a nonempty bounded closed convex subsets of Banach algebras where the entries are nonlinear operators.
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Neeb, Karl-Hermann, Hadi Salmasian, and Christoph Zellner. "Smoothing operators and C∗-algebras for infinite dimensional Lie groups." International Journal of Mathematics 28, no. 05 (2017): 1750042. http://dx.doi.org/10.1142/s0129167x17500422.

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A smoothing operator for a unitary representation [Formula: see text] of a (possibly infinite dimensional) Lie group [Formula: see text] is a bounded operator [Formula: see text] whose range is contained in the space [Formula: see text] of smooth vectors of [Formula: see text]. Our first main result characterizes smoothing operators for Fréchet–Lie groups as those for which the orbit map [Formula: see text] is smooth. For unitary representations [Formula: see text] which are semibounded, i.e. there exists an element [Formula: see text] such that all operators [Formula: see text] from the deriv
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Ciubotaru, Dan, and Marcelo De Martino. "Dirac Induction for Rational Cherednik Algebras." International Mathematics Research Notices 2020, no. 17 (2018): 5155–214. http://dx.doi.org/10.1093/imrn/rny153.

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Abstract We introduce the local and global indices of Dirac operators for the rational Cherednik algebra $\mathsf{H}_{t,c}(G,\mathfrak{h})$, where $G$ is a complex reflection group acting on a finite-dimensional vector space $\mathfrak{h}$. We investigate precise relations between the (local) Dirac index of a simple module in the category $\mathcal{O}$ of $\mathsf{H}_{t,c}(G,\mathfrak{h})$, the graded $G$-character of the module, the Euler–Poincaré pairing, and the composition series polynomials for standard modules. In the global theory, we introduce integral-reflection modules for $\mathsf{H
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Dissertations / Theses on the topic "Integral operator algebras"

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Tarkhanov, Nikolai. "Operator algebras related to the Bochner-Martinelli Integral." Universität Potsdam, 2005. http://opus.kobv.de/ubp/volltexte/2009/2978/.

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We describe a general method of computing the square of the singular integral of Bochner-Martinelli. Any explicit formula for the square applies in a familiar way to describe the C*-algebra generated by this integral.
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Beaver, Scott. "Banach algebras of integral operators, off-diagonal decay, and applications in wireless communications /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2004. http://uclibs.org/PID/11984.

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Mei, Tao. "Operator valued Hardy spaces and related subjects." Texas A&M University, 2006. http://hdl.handle.net/1969.1/4427.

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We give a systematic study of the Hardy spaces of functions with values in the non-commutative Lp-spaces associated with a semifinite von Neumann algebra M. This is motivated by matrix valued harmonic analysis (operator weighted norm inequalities, operator Hilbert transform), as well as by the recent development of non-commutative martingale inequalities. Our non-commutative Hardy spaces are defined by non-commutative Lusin integral functions. It is proved in this dissertation that they are equivalent to those defined by the non-commutative Littlewood-Paley G-functions. We also study the Lp bo
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Casati, Matteo. "Multidimensional Poisson Vertex Algebras and Poisson cohomology of Hamiltonian structures of hydrodynamic type." Doctoral thesis, SISSA, 2015. http://hdl.handle.net/20.500.11767/4853.

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The Poisson brackets of hydrodynamic type, also called Dubrovin-Novikov brackets, constitute the Hamiltonian structure of a broad class of evolutionary PDEs, that are ubiquitous in the theory of Integrable Systems, ranging from Hopf equation to the principal hierarchy of a Frobenius manifold. They can be regarded as an analogue of the classical Poisson brackets, defined on an infinite dimensional space of maps Σ → M between two manifolds. Our main problem is the study of Poisson-Lichnerowicz cohomology of such space when dim Σ > 1. We introduce the notion of multidimensional Poisson Vertex Al
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Axelsson, Andreas, and kax74@yahoo se. "Transmission problems for Dirac's and Maxwell's equations with Lipschitz interfaces." The Australian National University. School of Mathematical Sciences, 2002. http://thesis.anu.edu.au./public/adt-ANU20050106.093019.

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The aim of this thesis is to give a mathematical framework for scattering of electromagnetic waves by rough surfaces. We prove that the Maxwell transmission problem with a weakly Lipschitz interface,in finite energy norms, is well posed in Fredholm sense for real frequencies. Furthermore, we give precise conditions on the material constants ε, μ and σ and the frequency ω when this transmission problem is well posed. To solve the Maxwell transmission problem, we embed Maxwell’s equations in an elliptic Dirac equation. We develop a new boundary integral method to solve the Dirac transmission pro
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Barros, Paulo Barbosa. "Algumas Aplicações de Integrais de Trajetória Grassmannianas na Teoria Quântica Moderna." Universidade de São Paulo, 1998. http://www.teses.usp.br/teses/disponiveis/43/43133/tde-27022014-132628/.

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Este trabalho é dedicado à aplicação de integrais de trajetória de Grassmann para o cálculo de operadores relevantes aos problemas da teoria quântica relativística. Primeiramente uma visão geral detalhada do método é fornecida. Então concentramos nas definições e aplicações das integrais de trajetória sobre as variáveis de Grassmann. Discutimos, em detalhe, um importante papel das integrais de trajetória de Grassmann na representação de propagadores de partículas relativísticas. Derivamos o chamado fatores de spin para tais representações, fazendo as integrações Grasmannianas. Uma contribuição
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Santos, Viviane de Oliveira. "Fórmulas integrais para a curvatura r-média e aplicações." Universidade Federal de Alagoas, 2010. http://repositorio.ufal.br/handle/riufal/1043.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>Nesta dissertação, descrevemos resultados obtidos por Hilário Alencar e A. Gervasio Colares, publicado no Annals of Global Analysis and Geometry em 1998. Inicialmente, obtemos fórmulas integrais para a curvatura r-média, as quais generalizam fórmulas de Minkowski. Além disso, usando estas fórmulas, caracterizamos as hipersuperfícies compactas imersas no espaço Euclidiano, esférico ou hiperbólico cujo conjunto de pontos nestes espaços que não pertencem as hipersuperfícies totalmente geodésicas tangentes às hipersuperfícies compactas
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Kaiser, Robert. "Polynomiale Kollokations-Quadraturverfahren für singuläre Integralgleichungen mit festen Singularitäten." Doctoral thesis, Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-229930.

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Viele Probleme der Riss- und Bruchmechanik sowie der mathematischen Physik lassen sich auf Lösungen von singulären Integralgleichungen über einem Intervall zurückführen. Diese Gleichungen setzen sich im Wesentlichen aus dem Cauchy'schen singulären Integraloperator und zusätzlichen Integraloperatoren mit festen Singularitäten in den jeweiligen Kernen zusammen. Zur numerischen Lösung solcher Gleichungen werden polynomiale Kollokations-Quadraturverfahren betrachet. Als Ansatzfunktionen und Kollokationspunkte werden dabei gewichtete Polynome und Tschebyscheff-Knoten gewählt. Die Gewichte sind so g
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Chen, Shr-Jing. "Vertex operator algebras and integrable systems." 2009. http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050498.

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Leach, Peter Gavin Lawrence. "Algebraic properties of ordinary differential equations." Thesis, 1995. http://hdl.handle.net/10413/4897.

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In Chapter One the theoretical basis for infinitesimal transformations is presented with particular emphasis on the central theme of this thesis which is the invariance of ordinary differential equations, and their first integrals, under infinitesimal transformations. The differential operators associated with these infinitesimal transformations constitute an algebra under the operation of taking the Lie Bracket. Some of the major results of Lie's work are recalled. The way to use the generators of symmetries to reduce the order of a differential equation and/or to find its first integrals is
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Books on the topic "Integral operator algebras"

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Qian, Tao. Advances in Analysis and Geometry: New Developments Using Clifford Algebras. Birkhäuser Basel, 2004.

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Maeda, Yoshiaki. Noncommutative Differential Geometry and Its Applications to Physics: Proceedings of the Workshop at Shonan, Japan, June 1999. Springer Netherlands, 2001.

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H, Langer, Langer Matthias, Luger Annemarie, and Woracek Harald, eds. Operator theory and indefinite inner product spaces: Presented on the occasion of the retirement of Heinz Langer in the Colloquium on Operator Theory, Vienna, March 2004. Birkhäuser, 2006.

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Krupnik, Naum Yakovlevich. Banach Algebras with Symbol and Singular Integral Operators. Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-5463-4.

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Barkatou, Moulay, Thomas Cluzeau, Georg Regensburger, and Markus Rosenkranz, eds. Algebraic and Algorithmic Aspects of Differential and Integral Operators. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-54479-8.

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Chisti͡akov, V. F. Algebro-different͡sialʹnye operatory s konechnomernym i͡adrom. "Nauka", Sibirskai͡a izdatelʹskai͡a firma RAN, 1996.

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Edmunds, David E. Hardy Operators, Function Spaces and Embeddings. Springer Berlin Heidelberg, 2004.

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Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. American Mathematical Society, 2015.

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International Conference on p-Adic Functional Analysis (11th 2010 Université Blaise Pascal). Advances in non-Archimedean analysis: Eleventh International Conference on p-Adic Functional Analysis, July 5-9 2010, Université Blaise Pascal, Clermont-Ferrand, France. Edited by Araujo-Gomez Jesus 1965-, Diarra B. (Bertin) 1944-, and Escassut Alain. American Mathematical Society, 2011.

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Ricci, Fulvio, Stephen Wainger, Elias M. Stein, and Alexander Nagel. Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms. American Mathematical Society, 2019.

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Book chapters on the topic "Integral operator algebras"

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Longstaff, William E. "Single Elements of Operator Algebras." In Singular Integral Operators, Factorization and Applications. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8007-7_12.

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Karlovich, Alexei Yu. "Singular Integral Operators on Variable Lebesgue Spaces with Radial Oscillating Weights." In Operator Algebras, Operator Theory and Applications. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-0346-0174-0_9.

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Campos, Lina, Amarino Lebre, Rui Marreiros, and Juan Rodríguez. "Singular Integral Operators with Linear Fractional Shifts on the Unit Circle." In Operator Theory, Operator Algebras and Applications. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0816-3_5.

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Kravchenko, Viktor G., and Rui C. Marreiros. "On the Dimension of the Kernel of a Singular Integral Operator with Shift." In Operator Theory, Operator Algebras and Applications. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0816-3_11.

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Bastos, M. Amélia, Cláudio A. Fernandes, and Yuri I. Karlovich. "A C*-algebra of Singular Integral Operators with Shifts Similar to Affine Mappings." In Operator Theory, Operator Algebras and Applications. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0816-3_3.

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Schmüdgen, Konrad. "Integral Decompositions of *-Representations and States." In Unbounded Operator Algebras and Representation Theory. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7469-4_12.

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Karlovich, Yu I. "Algebras of Singular Integral Operators with PQC Coefficients on Weighted Lebesgue Spaces." In Operator Algebras, Toeplitz Operators and Related Topics. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-44651-2_15.

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Karlovich, Alexei Yu, Yuri I. Karlovich, and Amarino B. Lebre. "Semi-Fredholmness of Weighted Singular Integral Operators with Shifts and Slowly Oscillating Data." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_11.

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Lebre, Amarino B., and Juan S. Rodríguez. "Factorization of Singular Integral Operators with a Carleman Backward Shift: The Vector Case." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_12.

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Bastos, M. Amélia, Cláudio A. Fernandes, and Yuri I. Karlovich. "A C∗-algebra of Singular Integral Operators with Shifts and Piecewise Quasicontinuous Coefficients." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_2.

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Conference papers on the topic "Integral operator algebras"

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Szeptycki, Paweł. "Locally convex domains of integral operators." In Topological Algebras, their Applications, and Related Topics. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc67-0-28.

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Calvo, M. L., and V. Lakshminarayanan. "Toward a quantum representation for the Fresnel regime in a linear optical system." In OSA Annual Meeting. Optica Publishing Group, 1989. http://dx.doi.org/10.1364/oam.1989.thg5.

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The mathematical treatment involving Fresnel diffraction in compound linear optical systems presents difficulties due to the high degree of oscillations of the Fresnel integral kernel. Also, it is necessary to impose small pupil dimensions on the elements forming the compound system. A revised formulation for the general system having an arbitrary number of elements and generalized pupil functions allows one to represent the kernel in terms of convolution operations. This leads to a compact representation using Lie algebra operators.
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Cipolla, Jeffrey L. "Transient Infinite Elements for Acoustics and Shock." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0400.

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Abstract Many phenomena in acoustically loaded structural vibrations are better understood in the time domain, particularly transient radiation, shock, and problems involving nonlinearities and bulk structural motion. In addition, the geometric complexity of structures of interest drives the analyst toward domain-discretized solution methods, such as finite elements or finite differences, and large numbers of degrees of freedom. In such methods, efficient numerical enforcement of the Sommerfeld radiation condition in the time domain becomes difficult; although a great many methodologies for do
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Kauderer, Mark. "Remarks on special relativity." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.tur6.

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The canonical-operator approach to Fourieroptics1 has led to a new integral representation of special relativity that is different from either the Clifford algebra or spinor approach. An arbitrary Lorentz transformation can be decomposed into a rotation, a boost, and a translation. In my paper, the explicit forms of these parameters are derived, and some three-dimensional relativistic effects are discussed. In particular, it is shown that previous solutions of the Doppler effect have made unwarranted assumptions, have solved only an approximate equation, and/or have solved the problem implicit
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Hampton, R. David, Nathan S. Wiedenman, and Ting H. Li. "Analytical Determination of Shock Response Spectra for an Impulse-Loaded Proportionally Damped System." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58024.

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Many military systems must be capable of sustained operation in the face of mechanical shocks due to projectile or other impacts. The most widely used method of quantifying a system’s vibratory transient response to shock loading is called the shock response spectrum (SRS). The system response for which the SRS is to be determined can be due, physically, either to a collocated or to a noncollocated shock loading. Taking into account both possibilities, one can define the SRS as follows: the SRS presents graphically the maximum transient response (output) of an imaginary ideal mass-spring-dampe
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Joglekar, Manish M., Kedar Y. Hardikar, and Dnyanesh N. Pawaskar. "Analysis of Electrostatically Actuated Narrow Microcantilevers Using Rayleigh-Ritz Energy Technique." In 2008 Second International Conference on Integration and Commercialization of Micro and Nanosystems. ASMEDC, 2008. http://dx.doi.org/10.1115/micronano2008-70130.

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The operation of electrostatically actuated MEMS devices involves an inherent phenomenon termed as the pull-in instability which reduces their useful travel range. Accurate prediction of pull-in parameters (pull-in displacement and pull-in voltage) is hence vital in the design of such microdevices. In this article, we present a complete nondimensional formulation and implementation of an efficient numerical scheme based on the Rayleigh-Ritz energy technique to determine the static pull-in parameters of an electrostatically actuated narrow microcantilever beam. Deflection of the beam is approxi
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Rykkje, Thorstein, Alexander Bakketun Ringheim, Jonathan Willis Lundgaard, Kenan Mezher, Knut Øvsthus, and Thomas Impelluso. "Dynamic Modelling and Experimental Validation of Reaction Forces in Crane Structures." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-113245.

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Abstract This paper presents a first-phase project toward designing a digital twin for a smart crane on a ship. Digital twin technologies create a virtual model of a physical system to simulate its behavior and aid in its operation. The long-term goal of this project is to integrate the finite element method, the multi-body dynamics method, artificial intelligence, and 3D visualization for the creation of digital twins. The short-term objective of this first phase, and the focus of this paper, is to use the moving frame method (MFM) in dynamics as a foundation for such an integration. The MFM
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Vaze, Shilpa A., Prakash Krishnaswami, and James DeVault. "Component Based Modeling of Electromechanical Systems." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-85161.

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Simulation methods for electromechanical systems should accommodate their interdisciplinary nature and the fact that these systems often display qualitative changes in system behavior during operation, such as saturation effects and changes in kinematic structure. Current approaches are either based on deriving the system equations by applying a single formulation to all problem domains, or they are based on trying to integrate different software packages/modules to solve the interdisciplinary problem. In this paper, we present a component-based approach which allows the governing equations of
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