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Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property

Lech Drewnowski (1993)

Studia Mathematica

It is shown that if (S,∑,m) is an atomless finite measure space and X is a Banach space without the Radon-Nikodym property, then the quotient space cabv(∑,m;X)/L¹(m;X) is nonseparable.

Norm attaining bilinear forms on $L_{1} (μ)$ .

Saleh, Yousef (2000)

International Journal of Mathematics and Mathematical Sciences

Norm attaining operators

Jerry Johnson, John Wolfe (1979)

Studia Mathematica

Norm fragmented weak* compact sets.

J. E. Jayne, I. Namioka, C. A. Rogers (1990)

Collectanea Mathematica

A Banach space which is a Cech-analytic space in its weak topology has fourteen measure-theoretic, geometric and topological properties. In a dual Banach space with its weak-star topology essentially the same properties are all equivalent one to another.

Displaying 1 – 4 of 4

Nonseparability of the quotient space cabv(∑,m;X)/L¹(m;X) for Banach spaces X without the Radon-Nikodym property

Norm attaining bilinear forms on L 1 ( μ ) .

Norm attaining operators

Norm fragmented weak* compact sets.

Currently displaying 1 – 4 of 4

Norm attaining bilinear forms on $L_{1} (μ)$ .