Complemented subspaces of -adic second dual Banach spaces.
Kiyosawa, Takemitsu (1995)
International Journal of Mathematics and Mathematical Sciences
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Kiyosawa, Takemitsu (1995)
International Journal of Mathematics and Mathematical Sciences
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Steven Bellenot (1978)
Studia Mathematica
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J. C. Díaz (1987)
Collectanea Mathematica
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W.H. Schikhof (1995)
Annales mathématiques Blaise Pascal
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Gilles Pisier (1978)
Compositio Mathematica
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M. Ostrovskiĭ (1993)
Studia Mathematica
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The main result: the dual of separable Banach space X contains a total subspace which is not norming over any infinite-dimensional subspace of X if and only if X has a nonquasireflexive quotient space with a strictly singular quotient mapping.
M. Kadec (1971)
Studia Mathematica
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Joram Lindenstrauss (1975-1976)
Séminaire Choquet. Initiation à l'analyse
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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...