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ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Authors: Karlheinz Gröchenig and Michael Leinert
Journal: Trans. Amer. Math. Soc. 358 (2006), 2695-2711
MSC (2000): Primary 47B37, 47A60, 46H30, 42C15
Posted: January 24, 2006
MathSciNet review: 2204052
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Abstract | References | Similar Articles | Additional Information

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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