Pietro Aiena, Manuel González (1991)
Extracta Mathematicae
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We obtain several characterizations for the classes of Riesz and inessential operators, and apply them to extend the family of Banach spaces for which the essential incomparability class is known, solving partially a problem posed in [6].
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...
Beucher, O. J.
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Manuel González, Antonio Martinón (1994)
Banach Center Publications
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Several concepts of incomparability of Banach spaces have been considered in the literature, which allow one to describe some of the properties of the product of two Banach spaces as a juxtaposition of the corresponding properties of the factors. In this paper we study the relations between these concepts of incomparability, survey the main results and applications, and state some open problems.
Kamil John (1992)
Czechoslovak Mathematical Journal
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Steven Bellenot (1978)
Studia Mathematica
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T. Starbird (1975-1976)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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