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We give a short and elementary proof of the formula for the norm of a free convolution operator on L 2 {L^2} of a discrete group. The formula was obtained in 1976 by C. Akemann and Ph. Ostrand, and by several other authors afterwards.
norm of a free convolution operator on \(L^ 2\) of a discrete group, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Free nonabelian groups, Norms (inequalities, more than one norm, etc.) of linear operators, \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
norm of a free convolution operator on \(L^ 2\) of a discrete group, \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations, Free nonabelian groups, Norms (inequalities, more than one norm, etc.) of linear operators, \(L^p\)-spaces and other function spaces on groups, semigroups, etc.
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