Banach spaces in which every 𝑝-weakly summable sequence lies in the range of a vector measure

DOI10.1090/S0002-9939-96-03242-XzbMath0857.47014OpenAlexW1960219669MaRDI QIDQ4890269

Cándido Piñeiro

Publication date: 10 March 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03242-x

zbMATH Keywords

nuclearrange of a vector measure\((1,1,p)\)-summing\(p\)-weakly summable sequencerange of an \(X^{**}\)-valued measureunconditionally summable sequence

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10)

Related Items (2)

On $p$-summable sequences in the range of a vector measure ⋮ Absolutely \(p\)-summable sequences in Banach spaces and range of vector measures

Cites Work

• Banach Spaces in Which Every Compact Lies Inside the Range of a Vector Measure
• Operators on Banach Spaces Taking Compact Sets Inside Ranges of Vector Measures
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
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