Functional Analysis Entering Hilbert Space~tqw~ darksiderg

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  Functional Analysis Entering Hilbert Space~tqw~ darksiderg
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• Added:
  07/01/2008
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  *******************************************************************************<br /> Functional Analysis: Entering Hilbert Space <br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 4,835,373 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This book presents basic elements of the theory of Hilbert spaces and operators <br /> on Hilbert spaces, culminating in a proof of the spectral theorem for compact, <br /> self-adjoint operators on separable Hilbert spaces. It exhibits a construction <br /> of the space of p[superscript th] power Lebesgue integrable functions by a <br /> completion procedure with respect to a suitable norm in a space of continuous <br /> functions, including proofs of the basic inequalities of Holder and Minkowski. <br /> The L[superscript p]-spaces thereby emerges in direct analogy with a <br /> construction of the real numbers from the rational numbers. This allows grasping <br /> the main ideas more rapidly. Other important Banach spaces arising from function <br /> spaces and sequence spaces are also treated. <br /> <br /> Table of Contents<br /> <br /> 1 Basic elements of metric topology 5<br /> 2 New types of function spaces 23<br /> 3 Theory of Hilbert spaces 49<br /> 4 Operators of Hilbert spaces 75<br /> 5 Spectral theory 89<br /> <br /> Product Details<br /> <br /> * ISBN: 9812566864<br /> * ISBN-13: 9789812566867<br /> * Format: Paperback, 136pp<br /> * Publisher: World Scientific Publishing Company, Incorporated<br /> * Pub. Date: May 2006<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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