Relevant bibliographies by topics / Fredholm-Operator

Contents

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

Academic literature on the topic 'Fredholm-Operator'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Fredholm-Operator"

1

Berkani, M., and N. Castro-González. "UNBOUNDED B-FREDHOLM OPERATORS ON HILBERT SPACES." Proceedings of the Edinburgh Mathematical Society 51, no. 2 (2008): 285–96. http://dx.doi.org/10.1017/s0013091505001574.

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AbstractThis paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space $H$ and called B-Fredholm operators. We characterize a B-Fredholm operator as the direct sum of a Fredholm closed operator and a bounded nilpotent operator. The notion of an index of a B-Fredholm operator is introduced and a characterization of B-Fredholm operators with index $0$ is given in terms of the sum of a Drazin closed operator and a finite-rank operator. We analyse the properties of the powers $T^m$ of a closed B-Fredholm operator and we establish a spectral mapping
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Berkani, Mohammed, and Snezana Zivkovic-Zlatanovic. "Pseudo-B-Fredholm operators, poles of the resolvent and mean convergence in the calkin algebra." Filomat 33, no. 11 (2019): 3351–59. http://dx.doi.org/10.2298/fil1911351b.

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We define here a pseudo B-Fredholm operator as an operator such that 0 is isolated in its essential spectrum, then we prove that an operator T is pseudo-B-Fredholm if and only if T = R + F where R is a Riesz operator and F is a B-Fredholm operator such that the commutator [R,F] is compact. Moreover, we prove that 0 is a pole of the resolvent of an operator T in the Calkin algebra if and only if T = K + F, where K is a power compact operator and F is a B-Fredholm operator, such that the commutator [K,F] is compact. As an application, we characterize the mean convergence in the Calkin algebra.
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Messaoud, Rim, Boulbaba Ghanmi, Saifeddine Ghnimi та Amira Missaoui. "Left-right α-Fredholm and α-Weyl operators with application to the weighted spectrum". Filomat 36, № 9 (2022): 2939–45. http://dx.doi.org/10.2298/fil2209939m.

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Sukochev, F. A. "Operator Estimates for Fredholm Modules." Canadian Journal of Mathematics 52, no. 4 (2000): 849–96. http://dx.doi.org/10.4153/cjm-2000-037-8.

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AbstractWe study estimates of the typewhere φ(t) = t(1 + t2)−1/2, D0 = D0* is an unbounded linear operator affiliated with a semifinite von Neumann algebra , D − D0 is a bounded self-adjoint linear operator from and , where E(, τ) is a symmetric operator space associated with . In particular, we prove that φ(D) − φ(D0) belongs to the non-commutative Lp-space for some p ∈ (1,∞), provided belongs to the noncommutative weak Lr-space for some r ∈ [1, p). In the case and 1 ≤ p ≤ 2, we show that this result continues to hold under the weaker assumption . This may be regarded as an odd counterpart of
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Vasilyev, Vladimir. "Elliptic operators and their symbols." Demonstratio Mathematica 52, no. 1 (2019): 361–69. http://dx.doi.org/10.1515/dema-2019-0025.

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AbstractWe consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm property for each operator from this sum.
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Shahi, Mahendra. "Some special characterisations of Fredholm operators in Banach space." BIBECHANA 11 (May 10, 2014): 169–74. http://dx.doi.org/10.3126/bibechana.v11i0.10399.

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A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays in global analysis. The aim of this paper is to prove the spectral theorem for compact operators in refined form and to describe some properties of the essential spectrum of general bounded operators by the use of the theorem of Fredholm operators. For this, we have analysed the Fredholm operator which is defined in a Banach space for some spec
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Medková, Dagmar. "Invariance of the Fredholm radius of the Neumann operator." Časopis pro pěstování matematiky 115, no. 2 (1990): 147–64. http://dx.doi.org/10.21136/cpm.1990.108370.

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Schmoeger, Christoph. "On Fredholm Properties of Operator Products." Mathematical Proceedings of the Royal Irish Academy 103A, no. 2 (2003): 203–8. http://dx.doi.org/10.1353/mpr.2003.0001.

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Djordjevic, Dragan S., and Milica Z. Kolundzija. "RIGHT AND LEFT FREDHOLM OPERATOR MATRICES." Bulletin of the Korean Mathematical Society 50, no. 3 (2013): 1021–27. http://dx.doi.org/10.4134/bkms.2013.50.3.1021.

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Kucerovsky, Dan. "When are Fredholm triples operator homotopic?" Proceedings of the American Mathematical Society 135, no. 2 (2006): 405–15. http://dx.doi.org/10.1090/s0002-9939-06-08481-4.

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Dissertations / Theses on the topic "Fredholm-Operator"

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Seidel, Markus Silbermann Bernd. "Über die Splitting-Eigenschaft der Approximationszahlen von Matrix-Folgen : l1-Theorie$nElektronische Ressource /." [S.l. : s.n.], 2006.

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2

Lindner, Marko. "Fredholm Theory and Stable Approximation of Band Operators and Their Generalisations." Doctoral thesis, Universitätsbibliothek Chemnitz, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200901182.

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This text is concerned with the Fredholm theory and stable approximation of bounded linear operators generated by a class of infinite matrices $(a_{ij})$ that are either banded or have certain decay properties as one goes away from the main diagonal. The operators are studied on $\ell^p$ spaces of functions $\Z^N\to X$, where $p\in[1,\infty]$, $N\in\N$ and $X$ is a complex Banach space. The latter means that our matrix entries $a_{ij}$ are indexed by multiindices $i,j\in\Z^N$ and that every $a_{ij}$ is itself a bounded linear operator on $X$. Our main focus lies on the case $p=\infty$, where n
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Lindner, Marko. "Limit Operators and Applications on the Space of Essentially Bounded Functions." Doctoral thesis, Universitätsbibliothek Chemnitz, 2003. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200301569.

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Die Dissertation untersucht die Invertierbarkeit im Unendlichen fuer Normgrenzwerte von Bandoperatoren - sogenannte band-dominierte Operatoren. Das dazu verwendete Instrument ist die Methode der Limitoperatoren. Es werden grundlegende Eigenschaften von Limitoperatoren bewiesen, Zusammenhaenge zur Invertierbarkeit im Unendlichen hergeleitet, sowie darueber hinaus gehende Anwendungen, z.B. zur Konvergenz von Projektionsverfahren, studiert.
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Seidel, Markus. "On some Banach Algebra Tools in Operator Theory." Doctoral thesis, Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-83750.

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Die vorliegende Arbeit ist der Untersuchung von Operatorfolgen gewidmet, die typischerweise bei der Anwendung von Approximationsverfahren auf stetige lineare Operatoren entstehen. Dabei stehen die Stabilität der Folgen sowie das asymptotische Verhalten gewisser Charakteristika wie Normen, Konditionszahlen, Fredholmeigenschaften und Pseudospektren im Mittelpunkt. Das Hauptaugenmerk liegt auf der Entwicklung der Theorie für Operatoren auf Banachräumen. Hierbei bildet ein dafür geeigneter Konvergenzbegriff, die sogenannte P-starke Konvergenz, den Ausgangspunkt, welcher das Studium der gewünscht
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Ehrhardt, Torsten. "Factorization theory for Toeplitz plus Hankel operators and singular integral operators with flip." Doctoral thesis, [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=972573305.

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Veloso, Diogo. "Seiberg-Witten theory on 4-manifolds with periodic ends." Thesis, Aix-Marseille, 2014. http://www.theses.fr/2014AIXM4781/document.

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Dans cette thèse on prouve des résultats analytiques sur la théorie cohomotopique de Seiberg-Witten pour des 4-variétes Riemanniennes Spinc(4) a bouts périodiques, (X,g,τ). Nos résultats montrent, que sur certaines conditions techniques en (X, g, τ ),, cette nouvelle version est cohérente et mène a des invariants de Seiberg-Witten.Premièrement, en utilisant le critère de Taubes pour des operateurs périodiques dans des variétes a bouts périodiques, on montre que pour une 4-varieté Riemmanienne a bouts périodiques (X, g) vérifiant certaines conditions topologiques, le Laplacian ∆+ : L2(Λ2+) → L2
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Kadel, Gokul Raj. "Hypercyclic Extensions of an Operator on a Hilbert Subspace with Prescribed Behaviors." Bowling Green State University / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1367962692.

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Seidel, Markus. "Über die Splitting-Eigenschaft der Approximationszahlen von Matrix-Folgen: l1-Theorie." Master's thesis, Universitätsbibliothek Chemnitz, 2007. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200700129.

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In dieser Arbeit wird das asymptotische Verhalten der Approximationszahlen für Operatorfolgen aus einer speziellen Klasse von Banachalgebren untersucht. Es werden bemerkenswerte Eigenschaften der Folgen und der Approximationszahlen ihrer Operatoren gezeigt, darunter die so genannte splitting-Eigenschaft. Ein typisches Beispiel solcher Operatorfolgen stellen die Finite Sections von Toeplitzoperatoren dar, die exemplarisch behandelt werden. Dabei werden hier auch die Folgenräume l1 und l-unendlich betrachtet.
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Fedchenko, Dmitry, and Nikolai Tarkhanov. "A Class of Toeplitz Operators in Several Variables." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6893/.

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We introduce the concept of Toeplitz operator associated with the Laplace-Beltrami operator on a compact Riemannian manifold with boundary. We characterise those Toeplitz operators which are Fredholm, thus initiating the index theory.
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Schulze, Bert-Wolfgang, Vladimir Nazaikinskii, and Boris Sternin. "A semiclassical quantization on manifolds with singularities and the Lefschetz Formula for Elliptic Operators." Universität Potsdam, 1998. http://opus.kobv.de/ubp/volltexte/2008/2529/.

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For general endomorphisms of elliptic complexes on manifolds with conical singularities, the semiclassical asymptotics of the Atiyah-Bott-Lefschetz number is calculated in terms of fixed points of the corresponding canonical transformation of the symplectic space.
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Books on the topic "Fredholm-Operator"

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1941-, Booss Bernhelm, Grubb Gerd, and Wojciechowski Krzysztof P. 1953-, eds. Spectral geometry of manifolds with boundary and decomposition of manifolds: Proceedings of the Workshop on Spectral Geometry of Manifolds with Boundary and Decomposition of Manifolds, Roskilde University, Roskilde, Denmark, August 6-9, 2003. American Mathematical Society, 2005.

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2

Dales, H. G. Introduction to Banach algebras, operators, and harmonic analysis. Cambridge University Press, 2003.

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Operator theory and arithmetic in H [infinity]. American Mathematical Society, 1988.

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G, Samko S., ed. Equations with involutive operators. Birkhäuser, 2001.

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Roe, John. Winding around: The winding number in topology, geometry, and analysis. American Mathematical Society, 2015.

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6

Samoilenko, A. M., and A. A. Boichuk. Generalized Inverse Operators and Fredholm Boundary-Value Problems. Brill Academic Publishers, 2004.

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Boichuk, A. A., and Anatolii M. Samoilenko. Generalized Inverse Operators and Fredholm Boundary-Value Problems. de Gruyter GmbH, Walter, 2012.

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Silbermann, Bernd, Steffen Roch, and Vladimir Rabinovich. Limit Operators and Their Applications in Operator Theory (Operator Theory: Advances and Applications). Birkhäuser Basel, 2004.

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Limit Operators and Their Applications in Operator Theory. Springer Basel AG, 2012.

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Silbermann, Bernd, Steffen Roch, and Vladimir Rabinovich. Limit Operators and Their Applications in Operator Theory. Birkhauser Verlag, 2012.

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Book chapters on the topic "Fredholm-Operator"

1

Kuchment, Peter. "Holomorphic Fredholm Operator Functions." In Floquet Theory for Partial Differential Equations. Birkhäuser Basel, 1993. http://dx.doi.org/10.1007/978-3-0348-8573-7_1.

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Booß-Bavnbek, Bernhelm, and Krzysztof P. Wojciechowski. "Fredholm Property of the Operator AR." In Elliptic Boundary Problems for Dirac Operators. Birkhäuser Boston, 1993. http://dx.doi.org/10.1007/978-1-4612-0337-7_20.

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Bart, Harm, Torsten Ehrhardt, and Bernd Silbermann. "Logarithmic Residues of Fredholm Operator Valued Functions and Sums of Finite Rank Projections." In Linear Operators and Matrices. Birkhäuser Basel, 2002. http://dx.doi.org/10.1007/978-3-0348-8181-4_8.

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Groenewald, G. J., S. ter Horst, J. Jaftha, and A. C. M. Ran. "A Toeplitz-like operator with rational symbol having poles on the unit circle I: Fredholm properties." In Operator Theory, Analysis and the State Space Approach. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-04269-1_10.

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Krupnik, Naum Yakovlevich. "Matrix Fredholm Operators." In Operator Theory: Advances and Applications. Birkhäuser Basel, 1987. http://dx.doi.org/10.1007/978-3-0348-5463-4_1.

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Diagana, Toka. "Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces." In Operator Theory. Springer Basel, 2015. http://dx.doi.org/10.1007/978-3-0348-0667-1_49.

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Diagana, Toka. "Perturbations of Unbounded Fredholm Linear Operators in Banach Spaces." In Operator Theory. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0692-3_49-1.

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Krause, M. "Fredholm theory of interpolation morphisms." In Recent Progress in Operator Theory. Birkhäuser Basel, 1998. http://dx.doi.org/10.1007/978-3-0348-8793-9_12.

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Carvalho, Catarina, Victor Nistor, and Yu Qiao. "Fredholm Conditions on Non-compact Manifolds: Theory and Examples." In Operator Theory, Operator Algebras, and Matrix Theory. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-72449-2_4.

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Ben-Artzi, A., and I. Gohberg. "Fredholm Properties of Band Matrices and Dichotomy." In Topics in Operator Theory. Birkhäuser Basel, 1988. http://dx.doi.org/10.1007/978-3-0348-5475-7_4.

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Conference papers on the topic "Fredholm-Operator"

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TAO, JICHENG. "FREDHOLM MODULE AND CAUCHY INTEGRAL OPERATOR." In 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_0026.

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Martinez, Rudolph, Brent S. Paul, Morgan Eash, and Carina Ting. "A Three-Dimensional Wiener-Hopf Technique for General Bodies of Revolution: Part 1—Theory." In ASME 2009 International Mechanical Engineering Congress and Exposition. ASMEDC, 2009. http://dx.doi.org/10.1115/imece2009-13344.

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This work, the first of two parts, presents the development of a new analytic solution of acoustic scattering and/or radiation by arbitrary bodies of revolution under heavy fluid loading. The approach followed is the construction of a three-dimensional Wiener-Hopf technique with Fourier transforms that operate on the finite object’s arclength variable (the object’s practical finiteness comes about, in a Wiener-Hopf sense, by formally bringing to zero the radius of its semi-infinite generator curve for points beyond a prescribed station). Unlike in the classical case of a planar semi-infinite g
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Cramer, David, and Yuri Latushkin. "Fredholm determinants and the Evans function for difference equations." In Perspectives in Operator Theory. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc75-0-7.

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Reports on the topic "Fredholm-Operator"

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Stepin, Stanislav A. Fredholm Analytic Operator Families and Perturbation of Resonances. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-6-2006-109-117.

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