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Type, Cotype Constants and Clarkson's Inequalities for Banach Spaces

✍ Scribed by Mikio Kato; Yasuji Takahashi

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
389 KB
Volume
186
Category
Article
ISSN
0025-584X

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✦ Synopsis

It is shown that a Banach space satisfies Clarkson's inequalities if and only if its "type

or cotype constant" is 1, which implies in particular that the notions of Goand G, -Fourier type by I " (161 are equivalent. A sequence of related results is also given.

1991 Maihemaiics Subject Clarrificaiion. 46B20. Keywordr and phrarer. Type and cotype constant, Clarkson's inequality.

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