Functional Analysis: Entering Hilbert Space - Softcover

Hansen, Vagn Lundsgaard

 
9789812566867: Functional Analysis: Entering Hilbert Space
Softcover
ISBN 10: 9812566864 ISBN 13: 9789812566867
Publisher: Wspc, 2006

Synopsis

This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including proofs of the basic inequalities of Hölder and Minkowski. The Lp-spaces thereby emerges in direct analogy with a construction of the real numbers from the rational numbers. This allows grasping the main ideas more rapidly. Other important Banach spaces arising from function spaces and sequence spaces are also treated.

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Review

.,." a well-written student-friendly basic introduction to functional analysis and Hilbert space ...?

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Publisher
Wspc
Publication date
2006
Language
English
ISBN 10 
9812566864
ISBN 13 
9789812566867
Binding
Paperback
Number of pages
146

Other Popular Editions of the Same Title

9789812565631: Functional Analysis: Entering Hilbert Space

Featured Edition

ISBN 10:  9812565639 ISBN 13:  9789812565631
Publisher: World Scientific Publishing Co P..., 2006
Hardcover