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Claudi Alsina & Justyna Sikorska 
Norm Derivatives And Characterizations Of Inner Product Spaces 

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perlindungan daripada Claudi Alsina & Justyna Sikorska: Norm Derivatives And Characterizations Of Inner Product Spaces (PDF)
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).
€139.99
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Bahasa Inggeris ● Format PDF ● Halaman-halaman 200 ● ISBN 9789814287272 ● Saiz fail 1.2 MB ● Penerbit World Scientific Publishing Company ● Bandar raya Singapore ● Negara SG ● Diterbitkan 2009 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2448042 ● Salin perlindungan Adobe DRM
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