|
|||||
|
|
Symmetry and inverse-closedness of matrix algebras and functional calculus for infinite matrices |
|
| Authors: | Karlheinz Grö chenig Michael Leinert |
| Affiliation: | Department of Mathematics, The University of Connecticut, Storrs, Connecticut 06269-3009 ; Fakultät für Mathematik, Institut für Angewandte Mathematik, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany |
| 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. |
| Keywords: | Off-diagonal decay of matrices weight function invertibility of operators invariance of spectrum symmetric Banach algebras Gelfand-Raikov-Shilov condition Schur's test twisted convolution localized frames |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载全文 | |