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Averaging operators in non commutative Lp spaces II
Published online by Cambridge University Press: 18 May 2009
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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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- Copyright © Glasgow Mathematical Journal Trust 1984
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REFERENCES
1.Barnett, C.. Averaging operators in non commutative Lp spaces I Glasgow Math. J. 24 (1983), 71–74.CrossRefGoogle Scholar
4.Kelley, J. L.. Averaging operators in C∞(X), Illinois J. Math. 2 (1958), 214–223.CrossRefGoogle Scholar
5.Kunze, R. A.. Lp Fourier transforms on locally compact unimodular groups, Trans. Amer. Math. Soc. 89 (1958), 519–540.Google Scholar
8.Umegaki, H.. Conditional expectation in an operator algebra Tohoku Math. J. 6 (1954), 177–181.CrossRefGoogle Scholar
9.Yeadon, F. J.. Non commutative Lp Spaces, Math. Proc. Cambridge Philos. Soc. 77 (1975), 91–102.CrossRefGoogle Scholar
10.Yeadon, F. J.. Ergodic theorems for semifinite von Neumann algebras I. J. London Math. Soc. (2) 16 (1977), 326–332.CrossRefGoogle Scholar
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