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Averaging operators in non commutative Lp spaces II

Published online by Cambridge University Press:  18 May 2009

C. Barnett
Affiliation:
Department Of Mathematics, Bedford College, London NW1 4NS
I. F. Wilde
Affiliation:
Department Of Mathematics, Bedford College, London NW1 4NS
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This paper is the sequel to [1]. Briefly, the context in which we shall work is as follows. Let A b e a finite von Neumann algebra acting on a Hilbert space H. Let φ be a faithful normal finite trace on A with φ(I) = 1, where I is the identity of A. For 1<p<∞, let Lp(A) denote the non commutative Lebsegue spaces associated with (A, φ) [9].

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984