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Basic Operator Theory
Israel Gohberg, Seymour Goldberg (Broschiert, Englisch)
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Beschreibung
rii application of linear operators on a Hilbert space. We begin with a chapter on the geometry of Hilbert space and then proceed to the spectral theory of compact self adjoint operators; operational calculus is next presented as a nat ural outgrowth of the spectral theory. The second part of the text concentrates on Banach spaces and linear operators acting on these spaces. It includes, for… example, the three 'basic principles of linear analysis and the Riesz Fredholm theory of compact operators. Both parts contain plenty of applications. All chapters deal exclusively with linear problems, except for the last chapter which is an introduction to the theory of nonlinear operators. In addition to the standard topics in functional anal ysis, we have presented relatively recent results which appear, for example, in Chapter VII. In general, in writ ing this book, the authors were strongly influenced by re cent developments in operator theory which affected the choice of topics, proofs and exercises. One of the main features of this book is the large number of new exercises chosen to expand the reader's com prehension of the material, and to train him or her in the use of it. In the beginning portion of the book we offer a large selection of computational exercises; later, the proportion of exercises dealing with theoretical questions increases. We have, however, omitted exercises after Chap ters V, VII and XII due to the specialized nature of the subject matter. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
27.07.2001
Sprache
Englisch
EAN
9780817642624
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Israel Gohberg, Seymour Goldberg
Seitenanzahl
286
Einbandart
Broschiert
Schlagwörter
Applications of Mathematics, Functional Analysis, Operator Theory, Banach space, calculus, equation, function, functional analysis, geometry, Hilbert space, linear optimization, mathematics, operational calculus, operator, operator theory, proof, spectral theory, theorem
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PBW - Angewandte Mathematik
TBJ - Mathematik für Ingenieure
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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