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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 12, Pages 833-837
doi:10.1155/S0161171200003203

Norm attaining bilinear forms on L1(μ)

Yousef Saleh

Department of Mathematics, Hebron University, Hebron, Palestinian Authority

Abstract

Given a finite measure μ, we show that the set of norm attaining bilinear forms is dense in the space of all continuous bilinear forms on L1(μ) if and only if μ is purely atomic.