Cotype and complemented copies of in spaces of operators
J. Bonet, Paweł Domański, M. Lindström (1996)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Uncomplementability of spaces of compact operators in larger spaces of operators”
Cotype and complemented copies of in spaces of operators
Complemented and uncomplemented subspaces of Banach spaces.
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.
On essentially incomparable Banach spaces.
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...
The space of compact operators contains when a noncompact operator is suitably factorized
Giovanni Emmanuele, Kamil John (2000)
Czechoslovak Mathematical Journal
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