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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.