On operators fixing copies of and
N. Ghoussoub (1980-1981)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Displaying similar documents to “On spaces with local unconditional structure”
On operators fixing copies of and
On Banach spaces containing complemented copies of C0
Giovanni Emmanuele (1988)
Extracta Mathematicae
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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...
A local characterization of Banach lattices with order continuous norm
S. Bernau, H. Lacey (1976)
Studia Mathematica
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The lattice copies of in Banach lattices
Marek Wójtowicz (2001)
Commentationes Mathematicae Universitatis Carolinae
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It is known that a Banach lattice with order continuous norm contains a copy of if and only if it contains a lattice copy of . The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the - and -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.
On embedding l as a complemented subspace of Orlicz vector valued function spaces.
Fernando Bombal Gordón (1988)
Revista Matemática de la Universidad Complutense de Madrid
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Several conditions are given under which l1 embeds as a complemented subspace of a Banach space E if it embeds as a complemented subspace of an Orlicz space of E-valued functions. Previous results in Pisier (1978) and Bombal (1987) are extended in this way.