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Bücher Englische Bücher Elements of Operator Theory
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Elements of Operator Theory
Carlos S. Kubrusly (Gebundene Ausgabe, Englisch)
★★★★★
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Beschreibung
{\it Elements of Operatory Theory} is aimed at graduate students
as well as a new generation of mathematicians and scientists who need
to apply operator theory to their field. Written in a user-friendly,
motivating style, fundamental topics are presented in a systematic
fashion, i.e., set theory, algebraic structures, topological
structures, Banach spaces, Hilbert spaces, culminating with… the
Spectral Theorem, one of the landmarks in the theory of operators on
Hilbert spaces. The exposition is concept-driven and as much as
possible avoids the formula-computational approach.
Key features of this largely self-contained work include:
* required background material to each chapter
* fully rigorous proofs, over 300 of them, are specially tailored to
the presentation and some are new
* more than 100 examples and, in several cases, interesting
counterexamples that demonstrate the frontiers of an important theorem
* over 300 problems, many with hints
* both problems and examples underscore further auxiliary results and
extensions of the main theory; in this non-traditional framework, the
reader is challenged and has a chance to prove the principal theorems
anew
This work is an excellent text for the classroom as well as a
self-study resource for researchers. Prerequisites include an
introduction to analysis and to functions of a complex variable, which
most first-year graduate students in mathematics, engineering, or
another formal science have already acquired. Measure theory and
integration theory are required only for the last section of the final
chapter. Dieses Produkt haben wir gerade leider nicht auf Lager.
Handgeprüfte Gebrauchtware
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Technische Daten
Erscheinungsdatum
21.06.2001
Sprache
Englisch
EAN
9780817641740
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Carlos S. Kubrusly
Seitenanzahl
527
Auflage
1
Einbandart
Gebundene Ausgabe
Schlagwörter
Hilbert space, Operator theory, functional analysis, set theory, ksa, Algebra, set
Thema-Inhalt
PBD - Diskrete Mathematik
PBKF - Funktionalanalysis und Abwandlungen
PBKF - Funktionalanalysis und Abwandlungen
PBW - Angewandte Mathematik
Inhaltsverzeichnis
Preface * Set Theoretic Structures * Algebraic Structures *
Topological Structures * Banach Spaces * Hilbert Spaces * The Spectral
Theorem * References * Index
Höhe
235 mm
Breite
15.5 cm
-.-
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