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Tensor products of Hilbert modules over locally C * -algebras

Maria Joiţa (2004)

Czechoslovak Mathematical Journal

In this paper the tensor products of Hilbert modules over locally C * -algebras are defined and their properties are studied. Thus we show that most of the basic properties of the tensor products of Hilbert C * -modules are also valid in the context of Hilbert modules over locally C * -algebras.

Tensor stable Fréchet and (DF)-spaces.

José Bonet, Juan Carlos Díaz, Jari Taskinen (1991)

Collectanea Mathematica

In this paper we introduce and investigate classes of Fréchet and (DF)-spaces which constitute a very general frame in which the problem of topologies of Grothendieck and some related dual questions have a positive answer. Many examples of spaces in theses classes are provided, in particular spaces of sequences and functions. New counterexamples to the problems of Grothendieck are given.

The associated tensor norm to ( q , p ) -absolutely summing operators on C ( K ) -spaces

J. A. López Molina, Enrique A. Sánchez-Pérez (1997)

Czechoslovak Mathematical Journal

We give an explicit description of a tensor norm equivalent on C ( K ) F to the associated tensor norm ν q p to the ideal of ( q , p ) -absolutely summing operators. As a consequence, we describe a tensor norm on the class of Banach spaces which is equivalent to the left projective tensor norm associated to ν q p .

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