Compactness of the integration operator associated with a vector measure

DOI10.4064/sm150-2-3zbMath0998.28009OpenAlexW2046023817MaRDI QIDQ2773433

Susumu Okada, Luis Rodríguez-Piazza, Werner J. Ricker

Publication date: 21 February 2002

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm150-2-3

zbMATH Keywords

vector measurecompact operatorvariationintegration operator

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Linear operators defined by compactness properties (47B07) Vector-valued measures and integration (46G10)

Related Items (14)

Abstract Cesàro spaces: integral representations ⋮ Topological dual systems for spaces of vector measure \(p\)-integrable functions ⋮ Integral extension of multiplier operators in \(A(G)\) ⋮ The weak Banach-Saks property for function spaces ⋮ Optimal extension of Fourier multiplier operators in \(L^p(G)\) ⋮ Extrapolation theorems for \((p,q)\)-factorable operators ⋮ Operator ideal properties of the integration map of a vector measure ⋮ Factorization theorems for homogeneous maps on Banach function spaces and approximation of compact operators ⋮ Spaces of \(p\)-integrable functions with respect to a vector measure ⋮ Measures with bounded variation with respect to a normed ideal of operators and applications ⋮ Vector measures: Where are their integrals? ⋮ Optimal extension of the Fourier transform and convolution operator on compact groups ⋮ Open problems in Banach spaces and measure theory ⋮ Compact integration operators for Fréchet-space-valued measures.

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