Copies of \(c_0\) in the space of Pettis integrable functions revisited

DOI10.1007/s13398-014-0205-3zbMath1321.28024OpenAlexW1981008023MaRDI QIDQ496403

Luis Manuel Sánchez Ruiz, Matilde Legua

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0205-3

zbMATH Keywords

countably additive vector measurecopy of \(c_0\)Pettis integrable

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Vector-valued set functions, measures and integrals (28B05)

Cites Work

• A dual geometric characterization of Banach spaces not containing \(l_ 1\).
• Banach spaces of vector-valued functions
• Copies of \(c_0\) in the space of Pettis integrable functions with integrals of finite variation
• Embedding c0 in bvca(Σ, X)
• Evaluating norms of Pettis integrable functions
• EMBEDDING C₀IN THE SPACE OF PETTIS INTEGRABLE FUNCTIONS
• On Sums of Pettis Integrable Random Elements
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