Cotype and complemented copies of in spaces of operators
J. Bonet, Paweł Domański, M. Lindström (1996)
Czechoslovak Mathematical Journal
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J. Bonet, Paweł Domański, M. Lindström (1996)
Czechoslovak Mathematical Journal
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Anatolij M. Plichko, David Yost (2000)
Extracta Mathematicae
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Does a given Banach space have any non-trivial complemented subspaces? Usually, the answer is: yes, quite a lot. Sometimes the answer is: no, none at all.
Manuel González (1991)
Extracta Mathematicae
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We introduce the concept of essentially incomparable Banach spaces, and give some examples. Then, for two essentially incomparable Banach spaces X and Y, we prove that a complemented subspace of the product X x Y is isomorphic to the product of a complemented subspace of X and a complemented subspace of Y. If, additionally, X and Y are isomorphic to their respective hyperplanes, then the group of invertible operators in X x Y is not connected. The results can be applied to some classical...
Giovanni Emmanuele, Kamil John (2000)
Czechoslovak Mathematical Journal
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Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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