Displaying similar documents to “Norm attaining operators versus bilinear forms.”

Some results on norm attaining bilinear forms on L1[0,1].

Yun Sung Choi (1996)

Extracta Mathematicae

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We characterize the norm attaining bilinear forms on L1[0,1], and show that the set of norm attaining ones is not dense in the space of continuous bilinear forms on L1[0,1].

Denseness of norm attaining mappings.

María D. Acosta (2006)

RACSAM

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The Bishop-Phelps Theorem states that the set of (bounded and linear) functionals on a Banach space that attain their norms is dense in the dual. In the complex case, Lomonosov proved that there may be a closed, convex and bounded subset C of a Banach space such that the set of functionals whose maximum modulus is attained on C is not dense in the dual. This paper contains a survey of versions for operators, multilinear forms and polynomials of the Bishop-Phelps Theorem. Lindenstrauss...