Norm Derivatives And Characterizations Of Inner Product Spaces (Hardcover)

The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces. Since the appearance of Jordan-von Neumann's classical theorem (The Parallelogram Law) in 1935, the field of characterizations of inner product spaces has received a significant amount of attention in various literature texts. Moreover, the techniques arising in the theory of functional equations have shown to be extremely useful in solving key problems in the characterizations of Banach spaces as Hilbert spaces.This book presents, in a clear and detailed style, state-of-the-art methods of characterizing inner product spaces by means of norm derivatives. It brings together results that have been scattered in various publications over the last two decades and includes more new material and techniques for solving functional equations in normed spaces. Thus the book can serve as an advanced undergraduate or graduate text as well as a resource book for researchers working in geometry of Banach (Hilbert) spaces or in the theory of functional equations (and their applications).

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	December 2009
First published:	November 2009
Authors:	Claudi Alsina • Justyna Sikorska • M. Santos Tomas
Dimensions:	232 x 159 x 19mm (L x W x T)
Format:	Hardcover
Pages:	200
ISBN-13:	978-981-4287-26-5
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Promotions
LSN:	981-4287-26-1
Barcode:	9789814287265

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