Finite Sections Of Band Dominated Operators

Author : Steffen Roch
Publisher :
ISBN 13 : 9781470405014
Total Pages : 104 pages
Book Rating : 4.16/5 ( download)

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Download or read book Finite Sections of Band-Dominated Operators written by Steffen Roch and published by . This book was released on 2014-09-11 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intends to review the advances and to present the results in the numerical analysis of the finite sections method for general band and band-dominated operators. This title addresses topics such as the stability of the finite sections method and the asymptotic behavior of singular values.

Author : Steffen Roch
Publisher : American Mathematical Soc.
ISBN 13 : 0821840428
Total Pages : 104 pages
Book Rating : 4.29/5 ( download)

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Download or read book Finite Sections of Band-Dominated Operators written by Steffen Roch and published by American Mathematical Soc.. This book was released on 2008 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this text is to review recent advances and to present new results in the numerical analysis of the finite sections method for general band and band-dominated operators. The main topics are the stability of the finite sections method and the asymptotic behavior of singular values. The latter topic is closely related with compactness and Fredholm properties of approximation sequences, and the paper can also serve as an introduction into this remarkable field of numerical analysis. Further the author discusses the behavior of approximation numbers, determinants, essential spectra and essential pseudospectra as well as the localization of pseudomodes of finite sections of band-dominated operators.

Author : Marko Lindner
Publisher : Springer Science & Business Media
ISBN 13 : 3764377674
Total Pages : 203 pages
Book Rating : 4.70/5 ( download)

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Download or read book Infinite Matrices and their Finite Sections written by Marko Lindner and published by Springer Science & Business Media. This book was released on 2006-11-10 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with the study of infinite matrices and their approximation by matrices of finite size. The main concepts presented are invertibility at infinity (closely related to Fredholmness), limit operators, and the stability and convergence of finite matrix approximations. Concrete examples are used to illustrate the results throughout, including discrete Schrödinger operators and integral and boundary integral operators arising in mathematical physics and engineering.

Author : Vladimir Rabinovich
Publisher : Birkhäuser
ISBN 13 : 3034879113
Total Pages : 404 pages
Book Rating : 4.18/5 ( download)

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Download or read book Limit Operators and Their Applications in Operator Theory written by Vladimir Rabinovich and published by Birkhäuser. This book was released on 2012-12-06 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first monograph devoted to a fairly wide class of operators, namely band and band-dominated operators and their Fredholm theory. The main tool in studying this topic is limit operators. Applications are presented to several important classes of such operators: convolution type operators and pseudo-differential operators on bad domains and with bad coefficients.

Author : Maria Amélia Bastos
Publisher : Springer Science & Business Media
ISBN 13 : 3764386843
Total Pages : 437 pages
Book Rating : 4.49/5 ( download)

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Download or read book Operator Algebras, Operator Theory and Applications written by Maria Amélia Bastos and published by Springer Science & Business Media. This book was released on 2008-05-27 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Author : Joseph A. Ball
Publisher : Springer Science & Business Media
ISBN 13 : 303480346X
Total Pages : 346 pages
Book Rating : 4.65/5 ( download)

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Download or read book Recent Progress in Operator Theory and Its Applications written by Joseph A. Ball and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty-one solicited articles by speakers at the IWOTA 2009 workshop, ranging from expository surveys to original research papers, each carefully refereed. The contributions reflect recent developments in operator theory and its applications. Consistent with the topics of recent IWOTA meetings, IWOTA 2009 was designed as a comprehensive, inclusive conference covering all aspects of theoretical and applied operator theory, ranging from classical analysis, differential and integral equations, complex and harmonic analysis to mathematical physics, mathematical systems and control theory, signal processing and numerical analysis. The conference brought together international experts for a week-long stay at Hotel Real de Minas, in an atmosphere conducive to fruitful professional interactions. These Proceedings reflect the high quality of the papers presented at the conference.

Author : Tsuyoshi Ando
Publisher : Springer Science & Business Media
ISBN 13 : 3764388935
Total Pages : 249 pages
Book Rating : 4.35/5 ( download)

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Download or read book Recent Advances in Operator Theory and Applications written by Tsuyoshi Ando and published by Springer Science & Business Media. This book was released on 2008-12-19 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains the proceedings of the International Workshop on Operator Theory and Applications (IWOTA 2006) held at Seoul National University, Seoul, Korea, from July 31 to August 3, 2006. This volume contains sixteen research papers which reflect developments in operator theory and applications.

Author : Yuri I. Karlovich
Publisher : Springer Science & Business Media
ISBN 13 : 3034805373
Total Pages : 410 pages
Book Rating : 4.77/5 ( download)

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Download or read book Operator Theory, Pseudo-Differential Equations, and Mathematical Physics written by Yuri I. Karlovich and published by Springer Science & Business Media. This book was released on 2012-10-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of papers devoted to the 70th birthday of Professor Vladimir Rabinovich. The opening article (by Stefan Samko) includes a short biography of Vladimir Rabinovich, along with some personal recollections and bibliography of his work. It is followed by twenty research and survey papers in various branches of analysis (pseudodifferential operators and partial differential equations, Toeplitz, Hankel, and convolution type operators, variable Lebesgue spaces, etc.) close to Professor Rabinovich's research interests. Many of them are written by participants of the International workshop “Analysis, Operator Theory, and Mathematical Physics” (Ixtapa, Mexico, January 23–27, 2012) having a long history of scientific collaboration with Vladimir Rabinovich, and are partially based on the talks presented there.The volume will be of great interest to researchers and graduate students in differential equations, operator theory, functional and harmonic analysis, and mathematical physics.​

Author : Ronald Hagen
Publisher : CRC Press
ISBN 13 : 9780824704605
Total Pages : 388 pages
Book Rating : 4.06/5 ( download)

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Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."

Author : Simon N. Chandler-Wilde
Publisher : American Mathematical Soc.
ISBN 13 : 0821852434
Total Pages : 126 pages
Book Rating : 4.39/5 ( download)

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Download or read book Limit Operators, Collective Compactness, and the Spectral Theory of Infinite Matrices written by Simon N. Chandler-Wilde and published by American Mathematical Soc.. This book was released on 2011 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first half of this memoir the authors explore the interrelationships between the abstract theory of limit operators (see e.g. the recent monographs of Rabinovich, Roch and Silbermann (2004) and Lindner (2006)) and the concepts and results of the generalised collectively compact operator theory introduced by Chandler-Wilde and Zhang (2002). They build up to results obtained by applying this generalised collectively compact operator theory to the set of limit operators of an operator $A$ (its operator spectrum). In the second half of this memoir the authors study bounded linear operators on the generalised sequence space $\ell^p(\mathbb{Z}^N,U)$, where $p\in [1,\infty]$ and $U$ is some complex Banach space. They make what seems to be a more complete study than hitherto of the connections between Fredholmness, invertibility, invertibility at infinity, and invertibility or injectivity of the set of limit operators, with some emphasis on the case when the operator $A$ is a locally compact perturbation of the identity. Especially, they obtain stronger results than previously known for the subtle limiting cases of $p=1$ and $\infty$.