Displaying similar documents to “Measurable linear operators on Banach spaces”

Some Remarks on Indicatrices of Measurable Functions

Marcin Kysiak (2005)

Bulletin of the Polish Academy of Sciences. Mathematics

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We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.

On measurable relation

C. Himmelberg, T. Parthasarathy, F. Van Vleck (1981)

Fundamenta Mathematicae

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Banach-Saks properties in symmetric spaces of measurable operators

P. G. Dodds, T. K. Dodds, F. A. Sukochev (2007)

Studia Mathematica

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We study Banach-Saks properties in symmetric spaces of measurable operators. A principal result shows that if the symmetric Banach function space E on the positive semiaxis with the Fatou property has the Banach-Saks property then so also does the non-commutative space E(ℳ,τ) of τ-measurable operators affiliated with a given semifinite von Neumann algebra (ℳ,τ).