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On Clarkson's inequality, type and cotype for the Edmunds-Triebel logarithmic spaces

✍ Scribed by L. Y. Nikolova; L. E. Persson; T. Zachariades

Publisher
Springer
Year
2003
Tongue
English
Weight
132 KB
Volume
80
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

Type, Cotype Constants and Clarkson's In
Type, Cotype Constants and Clarkson's Inequalities for Banach Spaces
✍ Mikio Kato; Yasuji Takahashi πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 389 KB

## 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 Clarrifi