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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Norms of free operators


Authors: Massimo A. Picardello and Tadeusz Pytlik
Journal: Proc. Amer. Math. Soc. 104 (1988), 257-261
MSC: Primary 47A30; Secondary 20E05, 43A15, 47B37
DOI: https://doi.org/10.1090/S0002-9939-1988-0958078-7
MathSciNet review: 958078
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Abstract: We give a short and elementary proof of the formula for the norm of a free convolution operator on $ {L^2}$ of a discrete group. The formula was obtained in 1976 by C. Akemann and Ph. Ostrand, and by several other authors afterwards.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0958078-7
Keywords: Convolution operator, Leinert property, free group, Schwarz inequality
Article copyright: © Copyright 1988 American Mathematical Society