Hahn-Banach extension of multilinear forms and summability

[摘要] The aim of this paper is to investigate close relations between the validity of Hahn-Banach extension theorems for multilinear forms on Banach spaces and summability properties of sequences from these spaces. A case of particular importance occurs when we consider Banach spaces which have the property that every bilinear form extends to any superspace. (c) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15

[关键词] multilinear forms;bilinear forms;hahn-banach extension;summing properties