Kniha Hilbert Space Operators Carlos S. Kubrusly

Hilbert Space Operators

A Problem Solving Approach

Jazyk: Angličtina
Vazba: Brožovaná
Vydavatel: Birkhäuser
Dostupnost: Skladem u dodavatele
Odesíláme za 5-8 dnů
1 120
This self-contained treatment of bounded linear operators on a Hilbert space provides an examination...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
2003
Stránek
149
EAN
9780817632427
ISBN
0817632425
Enbook ID
06794365
Vydavatel
Hmotnost
310
Rozměry
156 x 234 x 9

Kompletní popis

This self-contained treatment 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 instructive exercises to open 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 begins with the basics of invariant subspaces, linear operators, convergence, shifts, and decompositions, and then proceeds to hyponormal operators, spectral properties, and paranormal and quasireducible operators. The book concludes with a detailed presentation of the Lomonosov Theorem on nontrivial hyperinvariant subspaces for compact operators.§Some knowledge of elementary functional analysis and a 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 graduate students, it will benefit researchers and working scientists as well, given the far-reaching applications of the subject to pure and applied mathematics, physics, engineering, economics, and statistics.

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