Norm Derivatives and Characterizations of Inner Product Spaces is popular PDF and ePub book, written by Claudi Alsina in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Norm Derivatives and Characterizations of Inner Product Spaces can be Read Online from any device for your convenience.
Norm Derivatives and Characterizations of Inner Product Spaces Book PDF Summary
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 Jordanvon 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).
Detail Book of Norm Derivatives and Characterizations of Inner Product Spaces PDF
- Author : Claudi Alsina
- Release : 21 September 2024
- Publisher : World Scientific
- ISBN : 9789814287265
- Genre : Mathematics
- Total Page : 199 pages
- Language : English
- PDF File Size : 20,7 Mb
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