We give estimates for the characteristic of convexity of the Banach spaces obtained by complex interpolation. It is proven that the intermediate spaces are uniformly non-square, provided this is true for "enough" boundary spaces.
The uniform nonsquareness for the complex interpolation spaces / E. Casini, M. Vignati. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - 164:2(1992), pp. 518-523. [10.1016/0022-247X(92)90131-V]
The uniform nonsquareness for the complex interpolation spaces
M. VignatiUltimo
1992
Abstract
We give estimates for the characteristic of convexity of the Banach spaces obtained by complex interpolation. It is proven that the intermediate spaces are uniformly non-square, provided this is true for "enough" boundary spaces.
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