The Compact Approximation Property does not imply the Approximation Property

• Autorzy: George Willis
• Języki publikacji: EN

Abstrakty

EN

It is shown how to construct, given a Banach space which does not have the approximation property, another Banach space which does not have the approximation property but which does have the compact approximation property.

Kategorie tematyczne

• 46B10: Duality and reflexivity
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1992
• Tom: 103
• Numer: 1
• Strony: 99-108

Daty

wydano

1992

otrzymano

1991-10-18

poprawiono

1992-04-14

Twórcy

autor

George Willis

• Mathematics Research Section, School of Mathematical Sciences, The Australian National University, GPO Box 4, Canberra, Act, Australia

Bibliografia

• [C] P. Casazza, personal communication.
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• [E] P. Enflo, A counterexample to the approximation property in Banach spaces, Acta Math. 130 (1973), 309-317.
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• [GW] N. Grønbæk and G. Willis, Approximate identities in Banach algebras of compact operators, Canad. Math. Bull., to appear.
• [LT1] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces I, Springer, Berlin 1977.
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