Uncomplementability of spaces of compact operators in larger spaces of operators

Giovanni Emmanuele; Kamil John

Displaying similar documents to “Uncomplementability of spaces of compact operators in larger spaces of operators”

Cotype and complemented copies of $c_{0}$ in spaces of operators

J. Bonet, Paweł Domański, M. Lindström (1996)

Czechoslovak Mathematical Journal

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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 $c_{0}$ when a noncompact operator is suitably factorized

Giovanni Emmanuele, Kamil John (2000)

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 c 0 in spaces of operators

Complemented and uncomplemented subspaces of Banach spaces.

On essentially incomparable Banach spaces.

The space of compact operators contains c 0 when a noncompact operator is suitably factorized

Cotype and complemented copies of $c_{0}$ in spaces of operators

The space of compact operators contains $c_{0}$ when a noncompact operator is suitably factorized