Displaying similar documents to “Lifting of certain isomorphic properties to X ⊗ ε Y .”

Some remarks on the equality W ( E , F * ) = K ( E , F * )

Giovanni Emmanuele (1998)

Archivum Mathematicum

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We show that the equality W ( E , F * ) = K ( E , F * ) is a necessary condition for the validity of certain results about isomorphic properties in the projective tensor product E ⊗ π F of two Banach spaces under some approximation property type assumptions.

Some permanence results of properties of Banach spaces

Giovanni Emmanuele (2004)

Commentationes Mathematicae Universitatis Carolinae

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Using some known lifting theorems we present three-space property type and permanence results; some of them seem to be new, whereas other are improvements of known facts.

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...