Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices

Gröchenig, Karlheinz; Leinert, Michael

doi:10.1090/S0002-9947-06-03841-4

Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices
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by Karlheinz Gröchenig and Michael Leinert PDF

Trans. Amer. Math. Soc. 358 (2006), 2695-2711 Request permission

Abstract:

We investigate the symbolic calculus for a large class of matrix algebras that are defined by the off-diagonal decay of infinite matrices. Applications are given to the symmetry of some highly non-commutative Banach algebras, to the analysis of twisted convolution, and to the theory of localized frames.

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