The approximation property of order (p,q) in Banach spaces.
J. C. Díaz, J. A. López Molina, M. J. Rivera (1990)
Collectanea Mathematica
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J. C. Díaz, J. A. López Molina, M. J. Rivera (1990)
Collectanea Mathematica
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Jesús M. Fernández Castillo (1994)
Extracta Mathematicae
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Enrique A. Sánchez-Pérez (1996)
Collectanea Mathematica
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We define an interpolation norm on tensor products of p-integrable function spaces and Banach spaces which satisfies intermediate properties between the Bochner norm and the injective norm. We obtain substitutes of the Chevet-Persson-Saphar inequalities for this case. We also use the calculus of traced tensor norms in order to obtain a tensor product description of the tensor norm associated to the interpolated ideal of (p, sigma)-absolutely continuous operators defined by Jarchow and...
Fernando Blasco (2000)
Extracta Mathematicae
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The problem of finding complemented copies of l in another space is a classical problem in Functional Analysis and has been studied from different points of view in the literature. Here we pay attention to complementation of l in an n-fold tensor product of l spaces because we were lead to that result in the study of Grothendieck's Problème des topologies as we shall comment later.
J. A. López Molina (1982)
Collectanea Mathematica
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J. A. López Molina, M. J. Rivera (1996)
Rendiconti del Seminario Matematico della Università di Padova
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Kazimierz Napiórkowski (1971)
Studia Mathematica
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José Ansemil, Klaus Floret (1998)
Studia Mathematica
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An explicit representation of the n-fold symmetric tensor product (equipped with a natural topology τ such as the projective, injective or inductive one) of the finite direct sum of locally convex spaces is presented. The formula for gives a direct proof of a recent result of Díaz and Dineen (and generalizes it to other topologies τ) that the n-fold projective symmetric and the n-fold projective “full” tensor product of a locally convex space E are isomorphic if E is isomorphic to...
Fernando Bombal Gordón (1988)
Collectanea Mathematica
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