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Functional Analysis: Entering Hilbert Space

Book Functional Analysis: Entering Hilbert Space V.L. Hansen
Libristo code: 05173950
This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, c... Full description
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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 H?lder 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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About the book

Full name Functional Analysis: Entering Hilbert Space
Author V.L. Hansen
Language English
Binding Book - Hardback
Date of issue 2006
Number of pages 148
EAN 9789812565631
ISBN 9812565639
Libristo code 05173950
Weight 404
Dimensions 162 x 233 x 16
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