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Functional Analysis Entering Hilbert Space~tqw~ darksiderg
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Functional Analysis: Entering Hilbert Space
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Type.................: Ebook
Part Size............: 4,835,373 bytes
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Posted by............: ~tqw~
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Release Notes
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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 p[superscript th] 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 Holder and Minkowski.
The L[superscript p]-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.
Table of Contents
1 Basic elements of metric topology 5
2 New types of function spaces 23
3 Theory of Hilbert spaces 49
4 Operators of Hilbert spaces 75
5 Spectral theory 89
Product Details
* ISBN: 9812566864
* ISBN-13: 9789812566867
* Format: Paperback, 136pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: May 2006
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