Uncomplementability of spaces of compact operators in larger spaces of operators

DOI10.1023/A:1022483919972zbMath0903.46006OpenAlexW1548670101MaRDI QIDQ4209975

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Publication date: 28 September 1998

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

Full work available at URL: https://eudml.org/doc/30344

zbMATH Keywords

approximation propertiescopies of \(c_0\)Hahn-Banach extensionsnon existence of norm one projectionnon existence of projectionsspaces of linear and compact operators

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Spaces of linear operators; topological tensor products; approximation properties (46A32) Ideals and subalgebras (46H10)

Related Items (8)

Cotype and complemented copies of $c_0$ in spaces of operators ⋮ \(L\)-sets and property \((SR^*)\) in spaces of compact operators ⋮ On the work of Lech Drewnowski ⋮ Properties \((V)\) and \((wV)\) in projective tensor products ⋮ Complemented spaces of operators ⋮ A note on Dunford-Pettis like properties and complemented spaces of operators ⋮ The reciprocal Dunford--Pettis property of order $p$ in projective tensor products ⋮ The space of compact operators contains c 0 when a noncompact operator is suitably factorized

Cites Work

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• A remark on the containment of c₀ in spaces of compact operators
• On the uncomplemented subspace $K(X,Y)$
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