On convexity properties of ψ-direct sums of Banach spaces

[摘要] The psi-direct sum of Banach spaces is strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) if each of the Banach spaces are strictly convex (respectively, uniformly convex, locally uniformly convex, uniformly convex in every direction) and the corresponding psi-norm is strictly convex. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-12-15