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The Elements of Operator Theory

Buch | Hardcover
540 Seiten
2011 | 2nd ed. 2011
Birkhauser Boston Inc (Verlag)
978-0-8176-4997-5 (ISBN)

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The Elements of Operator Theory - Carlos S. Kubrusly
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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.
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.



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.

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.

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

Zusatzinfo XVI, 540 p.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-8176-4997-2 / 0817649972
ISBN-13 978-0-8176-4997-5 / 9780817649975
Zustand Neuware
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