## 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
Some estimates for type and cotype constants
✍ Scribed by H. König; L. Tzafriri
- Book ID
- 105203268
- Publisher
- Springer
- Year
- 1981
- Tongue
- English
- Weight
- 415 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0025-5831
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📜 SIMILAR VOLUMES
In this paper, we continue investigation of an action constant )~A(V) introduced in [1-3]. In particular, we show that, if n is the dimension of V, then )~A(V) ~ p(A)v/'n, which is the generalization of the well-known estimate .~I(V) <\_ v"n. We then proceed to compare the estimates for .XA(V) and ,
A semiempirical method is developed by which molar attraction constants and cohesive energy densities (the Hildebrand-Scott solubility parameter 6) can be calculated for relatively nonpolar substances. In the simplest possible modification of the method, only molecular polarizabilities and molar vol