Remarks on  M ‐Ideals of Compact Operators on  X ⊕ p  X | Zendy

Oja Eve | Zendy; Werner Dirk | Zendy

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Remarks on M ‐Ideals of Compact Operators on X ⊕ p X

Author(s) -

Oja Eve,

Werner Dirk

Publication year - 1991

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19911520110

Subject(s) - mathematics , banach space , approximation property , ideal (ethics) , compact operator , space (punctuation) , compact space , pure mathematics , property (philosophy) , metric space , metric (unit) , discrete mathematics , combinatorics , extension (predicate logic) , linguistics , philosophy , operations management , epistemology , computer science , economics , programming language

We characterize those Banach spaces X for which K(X ⊕ p X ) is an M ‐ideal in L ( X ⊕ p X ) by means of a variant of the compact metric approximation property. As a consequence we obtain that such a space X must be hereditarily l p ‐rich.

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