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Relevant bibliographies by topics / Adjoints of multiplication operators

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Academic literature on the topic 'Adjoints of multiplication operators'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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Journal articles on the topic "Adjoints of multiplication operators"

1

Costakis, George, and Ioannis Parissis. "Szemerédi's theorem, frequent hypercyclicity and multiple recurrence." MATHEMATICA SCANDINAVICA 110, no. 2 (2012): 251. http://dx.doi.org/10.7146/math.scand.a-15207.

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Let $T$ be a bounded linear operator acting on a complex Banach space $X$ and $(\lambda_n)_{n\in\mathsf{N}}$ a sequence of complex numbers. Our main result is that if $|\lambda_n|/|\lambda_{n+1}|\to 1$ and the sequence $(\lambda_n T^n)_{n\in\mathsf{N}}$ is frequently universal then $T$ is topologically multiply recurrent. To achieve such a result one has to carefully apply Szemerédi's theorem in arithmetic progressions. We show that the previous assumption on the sequence $( \lambda_n)_{n\in\mathsf{N}}$ is optimal among sequences such that $|\lambda_{n}|/|\lambda_{n+1}|$ converges in $[0,\inft

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Heiatian Naeini, Parastoo, and Bahmann Yousefi. "On Some Properties of Cowen-Douglas Class of Operators." Journal of Function Spaces 2018 (2018): 1–6. http://dx.doi.org/10.1155/2018/6078594.

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We will consider multiplication operators on a Hilbert space of analytic functions on a domainΩ⊂C. For a bounded analytic functionφonΩ, we will give necessary and sufficient conditions under which the complement of the essential spectrum ofMφinφΩbecomes nonempty and this gives conditions for the adjoint of the multiplication operatorMφbelongs to the Cowen-Douglas class of operators. Also, we characterize the structure of the essential spectrum of a multiplication operator and we determine the commutants of certain multiplication operators. Finally, we investigate the reflexivity of a Cowen-Dou

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Behrndt, Jussi, Seppo Hassi, Henk de Snoo, and Rudi Wietsma. "Monotone convergence theorems for semi-bounded operators and forms with applications." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, no. 5 (2010): 927–51. http://dx.doi.org/10.1017/s030821050900078x.

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AbstractLet Hn be a monotone sequence of non-negative self-adjoint operators or relations in a Hilbert space. Then there exists a self-adjoint relation H∞ such that Hn converges to H∞ in the strong resolvent sense. This result and related limit results are explored in detail and new simple proofs are presented. The corresponding statements for monotone sequences of semi-bounded closed forms are established as immediate consequences. Applications and examples, illustrating the general results, include sequences of multiplication operators, Sturm–Liouville operators with increasing potentials, f

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Strauss, Vladimir. "Models of Function Type for Commutative Symmetric Operator Families in Krein Spaces." Abstract and Applied Analysis 2008 (2008): 1–40. http://dx.doi.org/10.1155/2008/439781.

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Commutative symmetric operator families of the so-calledDκ+-class are considered in Krein spaces. It is proved that the restriction of a family of this type on a special kind of invariant subspace is similar to a family of operators adjoint to multiplication operators by scalar functions acting on a suitable function space.

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Kokholm, Niels Jørgen. "Spectral analysis of perturbed multiplication operators occurring in polymerisation chemistry." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 113, no. 1-2 (1989): 119–48. http://dx.doi.org/10.1017/s0308210500024008.

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SynopsisWe consider a mathematical model for the motion of a marked monomer in a system of reacting polymers at equilibrium. A well-posed integro-differential initial value problem for the probability of finding the marked monomer in a molecule of a given length is formulated. We prove exponential convergence of the probability to a unique equilibrium distribution. A quite complete spectral analysis is carried out for a self adjoint operator, which is a perturbation of a multiplication operator by an integral operator and is related to the generator of the time evolution.

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XIA, JINGBO. "DIAGONALIZATION MODULO NORM IDEALS AND HAUSDORFF DIMENSIONALITY." International Journal of Mathematics 11, no. 08 (2000): 1057–78. http://dx.doi.org/10.1142/s0129167x00000520.

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Kuroda's version of the Weyl-von Neumann theorem asserts that, given any norm ideal [Formula: see text] not contained in the trace class [Formula: see text], every self-adjoint operator A admits the decomposition A=D+K, where D is a self-adjoint diagonal operator and [Formula: see text]. We extend this theorem to the setting of multiplication operators on compact metric spaces (X, d). We show that if μ is a regular Borel measure on X which has a σ-finite one-dimensional Hausdorff measure, then the family {Mf:f∈ Lip (X)} of multiplication operators on T2(X, μ) can be simultaneously diagonalized

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IRAC-ASTAUD, MICHÈLE, and GUY RIDEAU. "DEFORMED HARMONIC OSCILLATOR ALGEBRAS DEFINED BY THEIR BARGMANN REPRESENTATIONS." Reviews in Mathematical Physics 11, no. 05 (1999): 631–51. http://dx.doi.org/10.1142/s0129055x99000222.

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Deformed Harmonic Oscillator Algebras are generated by four operators, two mutually adjoint a and a†, and two self-adjoint N and the unity 1 such as: [Formula: see text] The Bargmann Hilbert space is defined as a space of functions, holomorphic in a ring of the complex plane, equipped with a scalar product involving a true integral. In a Bargmann representation, the operators of a Deformed Harmonic Oscillator Algebra act on a Bargmann Hilbert space and the creation (or the annihilation operator) is the multiplication by z. We discuss the conditions of existence of Deformed Harmonic Oscillator

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Nakazi, Takahiko. "Invariant subspaces in the bidisc and commutators." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 56, no. 2 (1994): 232–42. http://dx.doi.org/10.1017/s1446788700034856.

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AbstractLet M be an invariant subspace of L2 (T2) on the bidisc. V1 and V2 denote the multiplication operators on M by coordinate functions z and ω, respectively. In this paper we study the relation between M and the commutator of V1 and , For example, M is studied when the commutator is self-adjoint or of finite rank.

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Saworotnow, Parfeny P. "Diagonalization of a self-adjoint operator acting on a Hilbert module." International Journal of Mathematics and Mathematical Sciences 8, no. 4 (1985): 669–75. http://dx.doi.org/10.1155/s0161171285000734.

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For each bounded self-adjoint operatorTon a Hilbert moduleHover anH*-algebraAthere exists a locally compact spacemand a certainA-valued measureμsuch thatHis isomorphic toL2(μ)⊗AandTcorresponds to a multiplication with a continuous function. There is a similar result for a commuting family of normal operators. A consequence for this result is a representation theorem for generalized stationary processes.

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Amson, J. C., and N. Gopal Reddy. "A Hilbert algebra of Hilbert-Schmidt quadratic operators." Bulletin of the Australian Mathematical Society 41, no. 1 (1990): 123–34. http://dx.doi.org/10.1017/s0004972700017913.

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A quadratic operator Q of Hilbert-Schmidt class on a real separable Hilbert space H is shown to be uniquely representable as a sequence of self-adjoint linear operators of Hilbert-Schmidt class on H, such that Q(x) = Σk〈Lkx, x〉uk with respect to a Hilbert basis . It is shown that with the norm | ‖Q‖ | = (Σk ‖Lk‖2)½ and inner-product 〈〈〈Q, P〉〉〉 = Σk 〈〈Lk, Mk〉〉, together with a multiplication defined componentwise through the composition of the linear components, the vector space of all Hilbert-Schmidt quadratic operators Q on H becomes a linear H*-algebra containing an ideal of nuclear (trace c

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Dissertations / Theses on the topic "Adjoints of multiplication operators"

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Seceleanu, Irina. "Hypercyclic Operators and their Orbital Limit Points." Bowling Green State University / OhioLINK, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1280934433.

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Fleischer, G. "Multiplication operators and its ill-posedness properties." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801292.

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This paper deals with the characterization of multiplication operators, especially with its behavior in the ill-posed case. We want to classify the different types and degrees of ill-posedness. We give some connections between this classification and regularization methods.

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Vogel, Martin. "Propriétés spectrales des opérateurs non-auto-adjoints aléatoires." Thesis, Dijon, 2015. http://www.theses.fr/2015DIJOS018/document.

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Dans cette thèse, nous nous intéressons aux propriétés spectrales des opérateurs non-auto-adjoints aléatoires. Nous allons considérer principalement les cas des petites perturbations aléatoires de deux types des opérateurs non-auto-adjoints suivants :1. une classe d’opérateurs non-auto-adjoints h-différentiels Ph, introduite par M. Hager [32],dans la limite semiclassique (h→0); 2. des grandes matrices de Jordan quand la dimension devient grande (N→∞). Dans le premier cas nous considérons l’opérateur Ph soumis à de petites perturbations aléatoires. De plus, nous imposons que la constante de cou

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Hofmann, B., and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Convolution and Multiplication Operators." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800987.

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In this paper we deal with the `strength' of ill-posedness for ill-posed linear operator equations Ax = y in Hilbert spaces, where we distinguish according_to_M. Z. Nashed [15] the ill-posedness of type I if A is not compact, but we have R(A) 6= R(A) for the range R(A) of A; and the ill-posedness of type II for compact operators A: From our considerations it seems to follow that the problems with noncompact operators A are not in general `less' ill-posed than the problems with compact operators. We motivate this statement by comparing the approximation and stability behaviour of discrete leas

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Novak, Radek. "Mathematical analysis of Quantum mechanics with non-self-adjoint operators." Thesis, Nantes, 2018. http://www.theses.fr/2018NANT4062/document.

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L'importance des opérateurs non auto-adjoints dans la physique moderne augmente chaque jour, car ils commencent à jouer un rôle plus important dans la mécanique quantique. Cependant, la signification de leur examen est beaucoup plus récente que l'intérêt pour l'examen des opérateurs auto-adjoints. Ainsi, étant donné que de nombreuses techniques auto-adjointes ne sont pas généralisées à ce contexte, il n’existe pas beaucoup de méthodes bien développées pour examiner leurs propriétés. Cette thèse vise à contribuer à combler cette lacune et démontre plusieurs modèles non auto-adjoints et les moye

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Rouby, Ophélie. "Conditions de quantification de Bohr-Sommerfeld pour des opérateurs semi-classiques non auto-adjoints." Thesis, Rennes 1, 2016. http://www.theses.fr/2016REN1S051/document.

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On s'intéresse à la théorie spectrale d'opérateurs semi-classiques non auto-adjoints en dimension un et plus précisément aux développements asymptotiques des valeurs propres. Ces derniers font intervenir des objets géométriques issus de la mécanique classique dans l'espace des phases complexifié et correspondent à une généralisation des conditions de quantification de Bohr-Sommerfeld au cadre non auto-adjoint. Plus précisément, dans un premier temps, on étudie le spectre de perturbations non auto-adjointes d'opérateurs pseudo-différentiels auto-adjoints en dimension un à l'aide de techniques d

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7

Hofmann, Bernd. "On multiplication operators occurring in inverse problems of natural sciences and stochastic finance." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200501261.

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We deal with locally ill-posed nonlinear operator equations F(x) = y in L^2(0,1), where the Fréchet derivatives A = F'(x_0) of the nonlinear forward operator F are compact linear integral operators A = M ◦ J with a multiplication operator M with integrable multiplier function m and with the simple integration operator J. In particular, we give examples of nonlinear inverse problems in natural sciences and stochastic finance that can be written in such a form with linearizations that contain multiplication operators. Moreover, we consider the corresponding ill-posed linear operator equations Ax

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Freitag, Melina. "On the Influence of Multiplication Operators on the Ill-posedness of Inverse Problems." Master's thesis, Universitätsbibliothek Chemnitz, 2004. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200401504.

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In this thesis we deal with the degree of ill-posedness of linear operator equations in Hilbert spaces, where the operator may be decomposed into a compact linear integral operator with a well-known decay rate of singular values and a multiplication operator. This case occurs for example for nonlinear operator equations, where the local degree of ill-posedness is investigated via the Frechet derivative. If the multiplier function has got zeroes, the determination of the local degree of ill-posedness is not trivial. We are going to investigate this situation, provide analytical tools as well as

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Rambane, Daniel Thanyani. "Operators defined by conditional expectations and random measures / Daniel Thanyani Rambane." Thesis, North-West University, 2004. http://hdl.handle.net/10394/282.

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This study revolves around operators defined by conditional expectations and operators generated by random measures. Studies of operators in function spaces defined by conditional expectations first appeared in the mid 1950's by S-T.C. Moy [22] and S. Sidak [26]. N. Kalton studied them in the setting of Lp-spaces 0 < p < 1 in [15, 131 and in L1-spaces, [14], while W. Arveson [5] studied them in L2-spaces. Their averaging properties were studied by P.G. Dodds and C.B. Huijsmans and B. de Pagter in [7] and C.B. Huijsmans and B. de Pagter in [lo]. A. Lambert [17] studied their relationship with m

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Santos, Pedro. "Approximation Methods for Convolution Operators on the Real Line." Doctoral thesis, Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500362.

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This work is concerned with the applicability of several approximation methods (finite section method, Galerkin and collocation methods with maximum defect splines for uniform and non uniform meshes) to operators belonging to the closed subalgebra generated by operators of multiplication bz piecewise continuous functions and convolution operators also with piecewise continuous generating function.

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Books on the topic "Adjoints of multiplication operators"

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6.

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Schappacher, Norbert. Periods of Hecke characters. Springer-Verlag, 1988.

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Spectral analysis, differential equations, and mathematical physics: A festschrift in honor of Fritz Gesztesy's 60th birthday. American Mathematical Society, 2013.

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Guo, Kunyu, and Hansong Huang. Multiplication Operators on the Bergman Space. Springer, 2015.

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Mann, Peter. The (Not So?) Basics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0030.

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This chapter discusses matrices. Matrices appear in many instances across physics, and it is in this chapter that the background necessary for understanding how to use them in calculations is provided. Although matrices can be a little daunting upon first exposure, they are very handy for a lot of classical physics. This chapter reviews the basics of matrices and their operations. It discusses square matrices, adjoint matrices, cofactor matrices and skew-symmetric matrices. The concepts of matrix multiplication, transpose, inverse, diagonal, identity, Pfaffian and determinant are examined. The

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Book chapters on the topic "Adjoints of multiplication operators"

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Wong, M. W. "Adjoints." In Wavelet Transforms and Localization Operators. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8217-0_10.

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Eschmeier, Jörg. "Multiplication Operators on Bergman Spaces are Reflexive." In Linear Operators in Function Spaces. Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7250-8_11.

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3

Hörmander, Lars. "Differentiation and Multiplication by Functions." In The Analysis of Linear Partial Differential Operators I. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-96750-4_4.

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Hörmander, Lars. "Differentiation and Multiplication by Functions." In The Analysis of Linear Partial Differential Operators I. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-61497-2_4.

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Guo, Kunyu, and Hansong Huang. "Introduction." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_1.

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Guo, Kunyu, and Hansong Huang. "Some Preliminaries." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_2.

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Guo, Kunyu, and Hansong Huang. "Cowen-Thomson’s Theorem." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_3.

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Guo, Kunyu, and Hansong Huang. "Reducing Subspaces Associated with Finite Blaschke Products." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_4.

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Guo, Kunyu, and Hansong Huang. "Reducing Subspaces Associated with Thin Blaschke Products." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_5.

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Guo, Kunyu, and Hansong Huang. "Covering Maps and von Neumann Algebras." In Multiplication Operators on the Bergman Space. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-46845-6_6.

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Conference papers on the topic "Adjoints of multiplication operators"

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Reinov, Oleg I. "Approximation of p-summing operators by adjoints." In THE 5TH INTERNATIONAL CONFERENCE ON RESEARCH AND EDUCATION IN MATHEMATICS: ICREM5. AIP, 2012. http://dx.doi.org/10.1063/1.4724114.

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Benoit, Alexandre, Alin Bostan, and Joris van der Hoeven. "Quasi-optimal Multiplication of Linear Differential Operators." In 2012 IEEE 53rd Annual Symposium on Foundations of Computer Science (FOCS). IEEE, 2012. http://dx.doi.org/10.1109/focs.2012.57.

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YE, SHANLI. "MULTIPLICATION OPERATORS IN THE α-BLOCH SPACES". У Proceedings of the 13th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812773159_0032.

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Giesbrecht, Mark, Qiao-Long Huang, and Éric Schost. "Sparse Multiplication of Multivariate Linear Differential Operators." In ISSAC '21: International Symposium on Symbolic and Algebraic Computation. ACM, 2021. http://dx.doi.org/10.1145/3452143.3465527.

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ZORBOSKA, N. "MULTIPLICATION AND TOEPLITZ OPERATORS ON THE ANALYTIC BESOV SPACES." In Proceedings of the 5th International ISAAC Congress. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789812835635_0036.

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Goldstein, Stanisław, Hans Jarchow, and Louis E. Labuschagne. "Compactness properties for multiplication operators on von Neumann algebras and their preduals." In Quantum Probability. Institute of Mathematics Polish Academy of Sciences, 2006. http://dx.doi.org/10.4064/bc73-0-12.

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Blechschmidt, James L., and D. Nagasuru. "The Use of Algebraic Functions As a Solid Modeling Alternative: An Investigation." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0005.

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Abstract An investigation of surface and solid modeling using a single unbounded algebraic function for objects requiring free form surfaces is discussed. The purpose of this investigation is to determine if a single closed algebraic function can be effectively used to represent objects. Curve fitting techniques are developed. Surfaces using implicit algebraic functions are developed using the techniques of revolution about an axis and extrusion along a curve segment. Infinite extrusions of a planar cross section along an axis of the form y = f(x) are developed. The boolean operators of union,

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Reports on the topic "Adjoints of multiplication operators"

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Vioreanu, B., and V. Rokhlin. Spectra of Multiplication Operators as a Numerical Tool. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555151.

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