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Norm Derivatives & Characterizations...
Langbeschreibung
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.
Inhaltsverzeichnis
Norm Derivatives; Characterizations of Inner Product Spaces; Orthogonality Relations; Norm Derivatives and Heights; Perpendicular Bisectors in Real Normed Spaces; Bisectrices in Real Normed Spaces; Areas of Triangles in Normed Real Spaces.
ISBN-13:
9789814287265
Veröffentl:
2009
Erscheinungsdatum:
12.12.2009
Seiten:
200
Autor:
Justyna Sikorska Et Al Claudi Alsina
Gewicht:
450 g
Format:
235x157x15 mm
Sprache:
Englisch
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