Operator Theory

Advances and Applications

By: Vladimir MÃ¼ller

Write A Review

Hardcover | 17 September 2007 | Edition Number 2

At a Glance

Hardcover
456 Pages

Edition Type
Revised

Dimensions(cm)
23.5 x 17.78 x 2.54

Hardcover

$229.00

or 4 interest-free payments of $57.25 with

Ships in 5 to 7 business days

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.

Industry Reviews

From the reviews of the second edition:

"This is a nicely written and useful book. It is to a large extent self-contained, so that it can be read ... not only by specialists and by Ph. D. students specializing in operator theory, but also by university students of higher courses, who are familiar with basic facts on Banach spaces." (Wieslaw Tadeusz Zelazko, Zentralblatt MATH, Vol. 1208, 2011)

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $89.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms Topology Algebra

Preface	p. vii
Preface to the Second Edition	p. ix
Banach Algebras
Basic Concepts	p. 1
Commutative Banach algebras	p. 18
Approximate point spectrum in commutative Banach algebras	p. 26
Permanently singular elements and removability of spectrum	p. 34
Non-removable ideals	p. 42
Axiomatic theory of spectrum	p. 51
Spectral systems	p. 58
Basic spectral systems in Banach algebras	p. 68
Comments on Chapter I	p. 72
Operators
Spectrum of operators	p. 85
Operators with closed range	p. 97
Factorization of vector-valued functions	p. 106
Kato operators	p. 117
General inverses and Saphar operators	p. 130
Local spectrum	p. 135
Comments on Chapter II	p. 143
Essential Spectrum
Compact operators	p. 149
Fredholm and semi-Fredholm operators	p. 155
Construction of Sadovskii/Buoni, Harte, Wickstead	p. 164
Perturbation properties of Fredholm and semi-Fredholm operators	p. 169
Essential spectra	p. 172
Ascent, descent and Browder operators	p. 178
Essentially Kato operators	p. 187
Classes of operators defined by means of kernels and ranges	p. 197
Semiregularities and miscellaneous spectra	p. 211
Measures of non-compactness and other operator quantities	p. 220
Comments on Chapter III	p. 228
Taylor Spectrum
Basic properties	p. 237
Split spectrum	p. 245
Some non-linear results	p. 252
Taylor functional calculus for the split spectrum	p. 260
Local spectrum for n-tuples of operators	p. 266
Taylor functional calculus	p. 271
Taylor functional calculus in Banach algebras	p. 283
k-regular functions	p. 285
Stability of index of complexes	p. 293
Essential Taylor spectrum	p. 299
Comments on Chapter IV	p. 305
Orbits and Capacity
Joint spectral radius	p. 311
Capacity	p. 321
Invariant subset problem and large orbits	p. 327
Hypercyclic vectors	p. 341
Weak orbits	p. 348
Scott Brown technique	p. 359
Kaplansky's type theorems	p. 375
Polynomial orbits and local capacity	p. 378
Comments on Chapter V	p. 387
Appendix	p. 393
Banach spaces	p. 393
Analytic vector-valued functions	p. 398
C[superscript infinity]-functions	p. 401
Semicontinuous set-valued functions	p. 403
Some geometric properties of Banach spaces	p. 404
Basic properties of H[superscript infinity]	p. 405
Bibliography	p. 407
Index	p. 429
List of Symbols	p. 437
Table of Contents provided by Ingram. All Rights Reserved.

Operator Theory

Advances and Applications

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Functional Analysis & Transforms

Convex Analysis

Textbooks in Mathematics

Convex Analysis

Textbooks in Mathematics

Abstract Cauchy Problems

Three Approaches

A Visual Approach to Introductory Functional Analysis

Measure Theory and Integration

Schaum's Outline of Complex Variables

Schaum's Outline Series

AK Peters/CRC Recreational Mathematics

AK Peters/CRC Recreational Mathematics Series

Quantum Mechanics Done Right

The Shortest Path from Novice to Researcher

Walter Gautschi, Volume 4

Selected Works with Commentaries

A Guide to Generalized Functions

Linear, Nonlinear, Random, and Infinite Dimensional Distributions

Harmonic Analysis Techniques for Elliptic Operators

Lecture Notes of the 27th Internet Seminar on Evolution Equations

Introduction to Functional Analysis

Compact Textbooks in Mathematics

Functor and Tensor Categories, Models, and Systems

Satellite Conference of the 9th European Congress of Mathematics, Santiago de Compostela, Spain, June 3-7, 2024, Invited and Selected Contributions

Ritt Operators and Their Functional Calculus

Advances and Applications

Combinatorial Set Theory of C*-Algebras

Springer Monographs in Mathematics

Universal Key: Fourier Transformation Innovative

Applications in Science and Technology

Some Contributions to Number Theory and Beyond

Proceedings of the Centenary Symposium for M. V. Subbarao

From Classical Analysis to Analysis on Fractals

A Tribute to Robert Strichartz, Volume 2

Computational Physics I

Numerical Methods

A Course on Function Spaces I

Continuous and Integrable Functions

Calculus of Variations

Graduate Texts in Mathematics

Study of the CP Violating Phase ? at the LHCb Experiment

Springer Theses

Tbilisi Analysis and PDE Seminar

Extended Abstracts of the 2024 Seminar Talks

Elements Of Functional Analysis And Operator Theory

This product is categorised by