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Functional Analysis: Spectral Theory

Door V. S. Sunder

Categorie
Algemeen wetenschap
Boeknummer
#341456-ZA21
Titel
Functional Analysis: Spectral Theory
Auteur
V. S. Sunder
Boektype
Gebonden hardcover
Uitgeverij
Boston/Basel/Berlin : Birkhäuser
Jaar van uitgave
1997
ISBN10
3764358920
ISBN13
9783764358921
Taal
Engels
Beschrijving
Original boards, illustrated with numerous equations and diagrams, 8vo. Birkhäuser Advanced Texts.
Samenvatting
In an elegant and concise fashion, this book presents the concepts of functional analysis required by students of mathematics and physics. It begins with the basics of normed linear spaces and quickly proceeds to concentrate on Hilbert spaces, specifically the spectral theorem for bounded as well as unbounded operators in separable Hilbert spaces. While the first two chapters are devoted to basic propositions concerning normed vector spaces and Hilbert spaces, the third chapter treats advanced topics which are perhaps not standard in a first course on functional analysis. It begins with the Gelfand theory of commutative Banach algebras, and proceeds to the Gelfand-Naimark theorem on commutative C*-algebras. A discussion of representations of C*-algebras follows, and the final section of th... (Lees verder)is chapter is devoted to the Hahn-Hellinger classification of separable representations of commutative C*-algebras. After this detour into operator algebras, the fourth chapter reverts to more standard operator theory in Hilbert space, dwelling on topics such as the spectral theorem for normal operators, the polar decomposition theorem, and the Fredholm theory for compact operators. A brief introduction to the theory of unbounded operators on Hilbert space is given in the fifth and final chapter. There is a voluminous appendix whose purpose is to fill in possible gaps in the reader's background in various areas such as linear algebra, topology, set theory and measure theory. The book is interspersed with many exercises, and hints are provided for the solutions to the more challenging of these.
Pagina's
241
Conditie
Goed — Name in pen on title page.
Prijs
€ 10,00

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