Hilbert space operators problem (9 Ergebnisse)

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Softcover. XIII, 149 S. Ex-library with stamp and library-signature. GOOD condition, some traces of use. C-02579 9780817632427 Sprache: Englisch Gewicht in Gramm: 150.

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Blanda. Zustand: New. Zustand des Schutzumschlags: Nuevo. 0. This self-contained tatment of bounded linear operators on a Hilbert space provides an examination of the theory from a problem solving viewpoint. Each chapter interweaves theoretical results with a number of problems, ranging from simple yet intructive exercises to op…en questions at the forefront of current research; complete solutions to all stated problems are provided. Written in a motivating and rigorous style, the text covers much of the classical theory, it beging with the basics of invariant subspaces, linear operator, convergence, shifts, anddecompositions, and then proceeds to hyponormal operators. The book concludes with a detailed presentation of the Lomonosov hrorem on nontrivial hyperinvariant subspaces for compact operators. Some Knowledge of elementary functional anaylisi and familiarity with the basics of operator theory are all that is required. While this problem solving approach to the study of Hilbert space operators is primarily aimed at gratuate students, it will benefit researchers and working scientists as well, given the far-reaching applications of the subject to pire and applied mathematics, physics, engineering, ecnomics, and statistics. 300 gr. No Aplica (illustrator). Libro.

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a problem book on Hilbert space operators (Le. , on bounded linear transformations of a Hilbert space into itself) where theory and problems are investigated together. We tre!l:t only a part of the so-called single operator theory. Selected p…rob lems, ranging from standard textbook material to points on the boundary of the subject, are organized into twelve chapters. The book begins with elementary aspects of Invariant Subspaces for operators on Banach spaces 1. Basic properties of Hilbert Space Operators are introduced in in Chapter Chapter 2, Convergence and Stability are considered in Chapter 3, and Re ducing Subspaces is the theme of Chapter 4. Primary results about Shifts on Hilbert space comprise Chapter 5. These are introductory chapters where the majority of the problems consist of auxiliary results that prepare the ground for the next chapters. Chapter 6 deals with Decompositions for Hilbert space contractions, Chapter 7 focuses on Hyponormal Operators, and Chapter 8 is concerned with Spectral Properties of operators on Banach and Hilbert spaces. The next three chapters (as well as Chapter 6) carry their subjects from an introductory level to a more advanced one, including some recent results. Chapter 9 is about Paranormal Operators, Chapter 10 covers Proper Contractions, and Chapter 11 searches through Quasi reducible Operators. The final Chapter 12 commemorates three decades of The Lomonosov Theorem on nontrivial hyperinvariant subspaces for compact operators.