Dunford-Pettis property in spaces of abstract continuous functions

DOI10.1007/BF01160864zbMath0536.46025MaRDI QIDQ791832

G. M. Ustinov

Publication date: 1984

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Dunford-Pettis propertyweak compactnessDunford-Pettis operatorunconditionally converging operatorspaces of vector-valued functionsBanach space with a shrinking unconditional basisvector-valued case

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Cites Work

• Classical Banach spaces
• An extension of Tietze's theorem
• On representation of linear operators on $C_0(T,{\bf X})$
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