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The centraliser of the injective tensor product
Published online by Cambridge University Press: 17 April 2009
Abstract
The aim of this note is to obtain an intrinsic product formula for the centraliser of the injective tensor product of a couple of Banach spaces, Z(). More precisely, we are going to prove that
Here, the spaces and
depend only on X and Y, respectively, and Xk denotes the topological k-product.
A Counterexaple used to demonstrate that the k-product cannot beavoided serves as an answer to a question posed by W. Rueß and D. Werner concerning the behaviour of M-ideals on Y.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 44 , Issue 3 , December 1991 , pp. 357 - 365
- Copyright
- Copyright © Australian Mathematical Society 1991
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