Remarks on Weak Compactness of Operators Defined on Certain Injective Tensor Products

DOI10.2307/2159754zbMath0776.46030OpenAlexW4255802540MaRDI QIDQ4022138

Giovanni Emmanuele

Publication date: 17 January 1993

Full work available at URL: https://doi.org/10.2307/2159754

zbMATH Keywords

weakly sequentially completeweakly compact operatorinjective tensor productDieudonné propertyPełczynski's property \((u)\)Pełczynski's property \((V)\)

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Tensor products in functional analysis (46M05)

Related Items (9)

Relatively weakly open subsets of the unit ball in functions spaces ⋮ Some properties of the injective tensor product of \(L^{p}\)[0,1 and a Banach space.] ⋮ 𝐶(𝐾,𝐴) and 𝐶(𝐾,𝐻^{∞}) have the Dunford-Pettis property ⋮ Some permanence results of the Dunford-Pettis and Grothendieck properties in lcHs ⋮ Measures with bounded variation with respect to a normed ideal of operators and applications ⋮ Weakly open sets in the unit ball of the projective tensor product of Banach spaces ⋮ Dunford-Pettis like properties on tensor products ⋮ The unit ball ofC *-algebra and differentiability of support function ⋮ Relatively weakly open sets in closed balls of Banach spaces, and the centralizer

Cites Work

• Pelczynski's property V on C(\(\Omega\) ,E) spaces
• New classes of \(L_ p-\)spaces
• On the Dieudonne Property for C(Ω, E)
• On a Theorem of A. Pelczynski
• On representation of linear operators on $C_0(T,{\bf X})$
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Remarks on Weak Compactness of Operators Defined on Certain Injective Tensor Products