Displaying similar documents to “The ideal structure of the Haagerup tensor product of C*-algebras.”

Invertibility in tensor products of Q-algebras

Seán Dineen, Pablo Sevilla-Peris (2002)

Studia Mathematica

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We consider, using various tensor norms, the completed tensor product of two unital lmc algebras one of which is commutative. Our main result shows that when the tensor product of two Q-algebras is an lmc algebra, then it is a Q-algebra if and only if pointwise invertibility implies invertibility (as in the Gelfand theory). This is always the case for Fréchet algebras.

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

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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 .

Tensor products of partial algebras.

Miquel Monserrat, Francesc Roselló, Joan Torrens (1992)

Publicacions Matemàtiques

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In this paper we introduce the tensor product of partial algebras w.r.t. a quasi-primitive class of partial algebras, and we prove some of its main properties. This construction generalizes the well-known tensor product of total algebras w.r.t. varieties.