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Author : I. Erdelyi,R. Lange
Publisher : Springer
Page : 130 pages
File Size : 41,8 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540369912
Author : I. Erdelyi,R. Lange
Publisher : Unknown
Page : 134 pages
File Size : 54,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 3662201933
Author : Ivan Erdelyi,Ridgley Lange
Publisher : Springer
Page : 122 pages
File Size : 42,7 Mb
Release : 1977-01-01
Category : Banach spaces
ISBN : 0387085254
Author : Florian-Horia Vasilescu
Publisher : Springer Science & Business Media
Page : 398 pages
File Size : 40,6 Mb
Release : 1983-01-31
Category : Mathematics
ISBN : 9027713766
Author : Ridgley Lange,Shengwang Wang
Publisher : American Mathematical Soc.
Page : 288 pages
File Size : 54,8 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821851395
Aimed at a general mathematical audience, this book provides a careful exposition of developments in the theory of spectral decomposition. Bringing the reader from the basics up to the level of current research in the area at the time of writing, Lange and Wang present an accessible account of the techniques used in the theory and applications of decomposable operators and related classes of operators. The book begins with a discussion of criteria for decomposable and related types of operators, and an analysis that relates and distinguishes among them. Perturbation theory of decomposable and other operators, applications to classical Hilberty space operators, quasisimilarity, and a new class of weakly decomposable operators are also discussed. The book closes with an exposition of some classical theories on invariant subspaces for subdecomposable and hyponormal operators, and a presentation of the parallel spectral theory of commuting systems.
Author : Jörg Eschmeier,Mihai Putinar
Publisher : Oxford University Press
Page : 378 pages
File Size : 49,8 Mb
Release : 1996
Category : Language Arts & Disciplines
ISBN : 0198536674
Rapid developments in multivariable spectral theory have led to important and fascinating results which also have applications in other mathematical disciplines. In this book, various concepts from function theory and complex analytic geometry are drawn together to give a new approach to concrete spectral computations and give insights into new developments in the spectral theory of linear operators. Classical results from cohomology theory of Banach algebras, multidimensional spectral theory, and complex analytic geometry have been freshly interpreted using the language of homological algebra. The advantages of this approach are illustrated by a variety of examples, unexpected applications, and conceptually new ideas that should stimulate further research among mathematicians.
Author : Ivan N. Erdelyi,Shengwang Wang
Publisher : Cambridge University Press
Page : 194 pages
File Size : 46,8 Mb
Release : 1985-08
Category : Mathematics
ISBN : 0521313147
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.
Author : Väinö Jalava
Publisher : Unknown
Page : 40 pages
File Size : 55,7 Mb
Release : 1970
Category : Banach spaces
ISBN : PSU:000004779537
Author : Robert D. Brown
Publisher : Unknown
Page : 34 pages
File Size : 45,7 Mb
Release : 1977
Category : Banach spaces
ISBN : PSU:000007634864
Author : Vladimir Müller
Publisher : Birkhäuser
Page : 390 pages
File Size : 43,9 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9783034877886
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.
Author : Henry R. Dowson
Publisher : Unknown
Page : 444 pages
File Size : 53,9 Mb
Release : 1978
Category : Banach spaces
ISBN : UCAL:B4406582
General spectral theory; Riesz operators; Hermitian operators; Prespectral operators; Well-bounded operators.
Author : S. Kantorovitz
Publisher : Springer
Page : 184 pages
File Size : 52,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540386667
Author : Ivan Erdelyi,Shengwang Wang
Publisher : Unknown
Page : 190 pages
File Size : 52,7 Mb
Release : 2014-05-14
Category : MATHEMATICS
ISBN : 1107087694
This book, which is almost entirely devoted to unbounded operators, gives a unified treatment of the contemporary local spectral theory for unbounded closed operators on a complex Banach space. While the main part of the book is original, necessary background materials provided. There are some completely new topics treated, such as the complete spectral duality theory with the first comprehensive proof of the predual theorem, in two different versions. Also covered are spectral resolvents of various kinds (monotomic, strongly monotonic, almost localized, analytically invariant), and spectral decompositions with respect to the identity. The book concludes with an extensive reference list, including many papers published in the People's Republic of China, here brought to the attention of Western mathematicians for the first time. Pure mathematicians, especially those working in operator theory and functional analysis, will find this book of interest.
Author : Bernard Lani-Wayda
Publisher : CRC Press
Page : 153 pages
File Size : 48,7 Mb
Release : 2022-09-16
Category : Mathematics
ISBN : 9781000716832
This text gives a self-contained and detailed treatment of presently known results, and new theorems on hyperbolicity, shadowing, complicated motion, and robustness. The book is intended to provide a dependable reference for researchers wishing to apply such results. This book will be of particular interest to researchers and students interested in dynamical systems, particularly in noninvertible maps and infinite dimensional semi-flows or maps and global analysis.
Author : Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Publisher : Springer Nature
Page : 839 pages
File Size : 52,5 Mb
Release : 2024-01-08
Category : Mathematics
ISBN : 9783031465987
This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.