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Invertibility of generalized g-frame multipliers in Hilbert spaces.
- Source :
-
Linear & Multilinear Algebra . May2022, Vol. 70 Issue 8, p1590-1609. 20p. - Publication Year :
- 2022
-
Abstract
- In this paper, we investigate the invertibility of generalized g-Bessel multipliers. Sufficient and necessary conditions for invertibility are determined depending on the optimal g-frame bounds. Moreover, we show that, for semi-normalized symbols, the inverse of any invertible generalized g-frame multiplier can be represented as a generalized g-frame multiplier with the reciprocal symbol and dual g-frames of the given ones. Furthermore, we investigate some equivalent conditions for the special case, when both dual g-frames can be chosen to be the canonical duals. Finally, we give several approaches for constructing invertible generalized g-frame multipliers from the given ones. It is worth mentioning that some of our results are quite different from those studied in the previous literatures on this topic. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
*MULTIPLIERS (Mathematical analysis)
Subjects
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 70
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 156867954
- Full Text :
- https://doi.org/10.1080/03081087.2020.1769013