A characterization of subspaces of
J. Holub (1972)
Studia Mathematica
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J. Holub (1972)
Studia Mathematica
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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...
S. Kwapień (1968)
Studia Mathematica
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C. Piñeiro (1994)
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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C. Piñeiro (1996)
Collectanea Mathematica
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Dumitru Popa (1997)
Collectanea Mathematica
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Arne Persson (1969)
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.
Ferenc Móricz (1994)
Studia Mathematica
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be a double sequence of real numbers which is summable (C,1,1) to a finite limit. We give necessary and sufficient conditions under which converges in Pringsheim’s sense. These conditions are satisfied if is slowly decreasing in certain senses defined in this paper. Among other things we deduce the following Tauberian theorem of Landau and Hardy type: If is summable (C,1,1) to a finite limit and there exist constants and H such that , and whenever , then...
Denny Leung (1993)
Studia Mathematica
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It is shown that the weak spaces , and are isomorphic as Banach spaces.
T. Godoy, L. Saal, M. Urciuolo (1997)
Colloquium Mathematicae
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Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.