The Elements of Operator Theory
{\it Elements of Operatory Theory} is largely self-contained and geared towards graduate students, mathematicians and scientists who need to apply operator theory to their field. Written in a user- friendly, motivating style, fundamental topics are presented systematically, i.e, set theory, algebraic structures, topological structures, Banach spaces, Hilbert Spaces, culminating with the Spectral Theorem. The exposition is concept-driven and avoids the formula-computational approach. Key features * presents required background material to each chapter * offers 300 rigorous proofs * more than 100 examples and interesting counterexamples * over 300 problems, many with hints. Excellent text for the classroom and a
| Autor: | Kubrusly, Carlos S. |
|---|---|
| ISBN: | 9780817649975 |
| Auflage: | 2 |
| Sprache: | Englisch |
| Seitenzahl: | 540 |
| Produktart: | Gebunden |
| Verlag: | Birkhäuser Boston |
| Veröffentlicht: | 08.03.2011 |
| Schlagworte: | Banach spaces Hilbert spaces Spectral Theorem algebraic structures functional analysis operator theory set theory topological structures |
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 .