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This title in other editions

The Elements of Operator Theory

by

The Elements of Operator Theory Cover

 

Synopses & Reviews

Publisher Comments:

"The author endeavors to present the concepts and ideas as an alternative to the computational approach, trying to avoid long calculations by stressing the mathematical thoughts behind the statements. . . . many problems [are] stated throughout the book, very often accompanied by hints." --Mathematical Reviews (review of the first edition) "This is a rigorous, logically well-organized textbook presenting basic principles and elementary theory of operators. It is written with great care, gradually increasing in complexity. The forte features of the book are the teaching style, illuminating explanation of numerous delicate points, and detailed presentation of topics. Hence, the book can be warmly recommended to a first work for the study of operator theory . . . it is an admirable work for a modern introduction in operator theory." --Zentralblatt MATH (review of the first edition) This fully revised, updated, and corrected edition of The Elements of Operator Theory includes a significant expansion of problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly, motivating style, it covers the fundamental topics of the field in a systematic fashion while avoiding a formula-calculation approach. The book maintains the logical and linear organization of the title's first edition, progressing through set theory, algebraic structures, topological structures, Banach spaces, and Hilbert spaces before culminating in a discussion of the Spectral Theorem. Included in the presentation are * More than 300 rigorous proofs, specially tailored to the presentation. * Approximately 150 examples, and several interesting counterexamples that demonstrate the frontiers of an important theorem. * Over 300 problems, with many hints, and 20 pages of additional exercises for the second edition. Throughout, the pedagogical tone and the blend of examples and exercises encourage and challenge the reader to explore fresh approaches to theorems and auxiliary results. A self-contained textbook, The Elements of Operator Theory, Second Edition is an excellent resource for the classroom as well as a self-study reference for researchers. Prerequisites comprise an introduction to analysis and basic experience with functions of a complex variable, which most first-year graduate students in mathematics, engineering, or other formal sciences have already acquired. Measure theory and integration theory are necessary only for the last section of the final chapter.

Synopsis:

This second edition is a concept-driven book that includes a significant expansion of the problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly style, it presents fundamental topics in a systematic fashion.

Synopsis:

This second edition of Elements of Operator Theory is a concept-driven textbook

About the Author

Carlos Kubrusly's research deals with Hilbert-space operators, focusing on the Invariant Subspace Problem and its connection with the characterization of weakly and strongly stable operators. The author has published several books, including An Introduction to Models and Decompositions in Operator Theory, Elements of Operator Theory, Hilbert Space Operators: A Problem Solving Approach, and Measure Theory: A First Course.

Table of Contents

Preface * Set Theoretic Structures * Algebraic Structures * Topological Structures * Banach Spaces * Hilbert Spaces * The Spectral Theorem * References * Index

Product Details

ISBN:
9780817649975
Author:
Kubrusly, Carlos
Publisher:
Birkhauser
Author:
Kubrusly, Carlos S.
Subject:
Algebra - General
Subject:
Mathematical Analysis
Subject:
Banach spaces
Subject:
Hilbert spaces.
Subject:
Spectral Theorem
Subject:
Algebraic structures
Subject:
Functional Analysis
Subject:
Operator theory
Subject:
Set Theory
Subject:
Topological Structures
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Mathematics - Algebra
Copyright:
Edition Description:
2nd Edition.
Publication Date:
20110301
Binding:
HARDCOVER
Language:
English
Pages:
556
Dimensions:
235 x 155 mm

Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Operator Analysis

The Elements of Operator Theory New Hardcover
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Product details 556 pages Springer - English 9780817649975 Reviews:
"Synopsis" by , This second edition is a concept-driven book that includes a significant expansion of the problems and solutions used to illustrate the principles of operator theory. Written in a user-friendly style, it presents fundamental topics in a systematic fashion.
"Synopsis" by , This second edition of Elements of Operator Theory is a concept-driven textbook
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