Absolutely \(p\)-summable sequences in Banach spaces and range of vector measures

DOI10.1216/RMJ-2008-38-3-993zbMath1172.46028MaRDI QIDQ1011045

Mohd Amin Sofi

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

vector measure\(p\)-summing mapsabsolutely \(p\)-summing sequences

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)

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Cites Work

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• (\(p\),\(q\))-summing sequences
• Cotype and \((q,1)\)-summing norm in a Banach space
• Vector measures and nuclear operators
• 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
• A note on sequences lying in the range of a vector measure valued in the bidual
• On $p$-summable sequences in the range of a vector measure
• Sequences in the Range of a Vector Measure with Bounded Variation
• Banach spaces in which every 𝑝-weakly summable sequence lies in the range of a vector measure

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