Remarks on the uncomplemented subspace \(W(E,F)\)

DOI10.1016/0022-1236(91)90055-AzbMath0769.46006MaRDI QIDQ1178830

Giovanni Emmanuele

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

uncomplemented subspace\(W(E,F)\) is uncomplemented in \(L(E,F)\)complemented copy of \(c_ 0\) inside of \(W(E,F)\)space of weakly compact bounded linear operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (9)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ The use of an isometric isomorphism on the completion of the space of Henstock-Kurzweil integrable functions ⋮ Uncomplemented subspaces in operator and polynomial ideals ⋮ Unnamed Item ⋮ Complemented subspaces of homogeneous polynomials ⋮ Complemented spaces of operators ⋮ A note on Dunford-Pettis like properties and complemented spaces of operators ⋮ UNCONDITIONAL CONVERGENCE IN THE STRONG OPERATOR TOPOLOGY AND ℓ_∞ ⋮ Uncomplementability of spaces of compact operators in larger spaces of operators

Cites Work

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• On the Gelfand-Phillips property in \(\epsilon\)-tensor products
• Remarks on Banach spaces of compact operators
• Spaces of compact operators
• On the Non-Existence of a Projection onto the Space of Compact Operators
• On Banach spaces containing $L_{1}(μ)$

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