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