Norm attaining bilinear forms on L1(μ)

International Journal of Mathematics and Mathematical Sciences. 2000;23(12):833-837 DOI 10.1155/S0161171200003203


Journal Homepage

Journal Title: International Journal of Mathematics and Mathematical Sciences

ISSN: 0161-1712 (Print); 1687-0425 (Online)

Publisher: Hindawi Limited

LCC Subject Category: Science: Mathematics

Country of publisher: United Kingdom

Language of fulltext: English

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Yousef Saleh (Department of Mathematics, Hebron University, Hebron, Palestinian Authority)


Blind peer review

Editorial Board

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Time From Submission to Publication: 17 weeks


Abstract | Full Text

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.