On the tensor product weakly compact operators.

Gerhard Racher

Displaying similar documents to “On the tensor product weakly compact operators.”

On weakly compact operators.

G. Schlüchtermann (1992)

Mathematische Annalen

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Some classes of multilinear operators on C(K) spaces

Fernando Bombal, Maite Fernández, Ignacio Villanueva (2001)

Studia Mathematica

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We obtain a classification of projective tensor products of C(K) spaces according to whether none, exactly one or more than one factor contains copies of ℓ₁, in terms of the behaviour of certain classes of multilinear operators on the product of the spaces or the verification of certain Banach space properties of the corresponding tensor product. The main tool is an improvement of some results of Emmanuele and Hensgen on the reciprocal Dunford-Pettis and Pełczyński's (V) properties of...

Tensor Product of Several Spaces and Nuclearity.

Kamil John (1984)

Mathematische Annalen

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Tensor Norms on l(n) .. l(n).

J.S. Cohen, A.B. Stephens (1974)

Mathematische Annalen

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Some Results Concerning the M-Structure of Operator Spaces.

Wend Werner (1988)

Mathematische Annalen

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Dunford-Pettis-like properties of projective and natural tensor product spaces.

Jesús M. Fernández Castillo, Juan A. López Molina (1993)

Revista Matemática de la Universidad Complutense de Madrid

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Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.