The projective tensor product of Fréchet-Montel spaces
Jari Taskinen (1988)
Studia Mathematica
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Jari Taskinen (1988)
Studia Mathematica
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A. Peris, M. J. Rivera (1996)
Revista Matemática de la Universidad Complutense de Madrid
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The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.
J. A. López Molina, M. J. Rivera (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Päivi Mattila, Jari Taskinen (1993)
Revista Matemática de la Universidad Complutense de Madrid
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N. Kalton (1970)
Studia Mathematica
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A. Pličko (1986)
Studia Mathematica
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N. Kalton (1970)
Studia Mathematica
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Ginés López (1999)
Studia Mathematica
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We prove that a Banach space X with a supershrinking basis (a special type of shrinking basis) without copies is somewhat reflexive (every infinite-dimensional subspace contains an infinite-dimensional reflexive subspace). Furthermore, applying the -theorem by Rosenthal, it is proved that X contains order-one quasireflexive subspaces if X is not reflexive. Also, we obtain a characterization of the usual basis in .
Vincenzo Moscatelli (1990)
Studia Mathematica
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Wolf-Dieter Heinrichs (1997)
Collectanea Mathematica
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The aim of the present article is to introduce and investigate topological properties by operator. We obtain good stability properties for the density condition and the strong dual density condition by taking injective tensor products. Further we analyze the connection to (DF)-properties by operator.