Extension of Uniformly Convex Norms

A. Yu. Kellerman

Kharkiv State University

Abstract: In the uniformly convex Banach space any equivalent uniformly convex norm on a closed subspace may be extended to an equivalent uniformly convex norm on the whole space. The same result is obtained also for strictly convex norm.

UDC: 517.982

Received: 18.04.1994

Bibliographic databases:

•