The injective tensor product of ℒp-algebras

Author:

Carne T. K.,Tonge A. M.

Abstract

When A1 and A2 are Banach algebras, their algebraic tensor product A1A2 has a natural multiplication. In this paper we investigate when the condition that A1 and A2 are ℒp-spaces constrains this multiplication to extend to the injective tensor product A1A2, making it a Banach algebra.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. The Injective Tensor Product of Banach Algebras which are L 1 -Spaces

2. Absolutely p-summing operators in ℒr-spaces;Pietsch;Bull. Soc. Math. France,1972

3. BILINEAR FORMS BOUNDED IN SPACE [p, q]

4. On Subspaces of L p

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Representation theory for tensor products of Banach algebras;Mathematical Proceedings of the Cambridge Philosophical Society;1981-11

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