In this paper, we introduce a general version of multipliers for controlled sequences. In fact, by combining analysis, an operator on the Hilbert space ℓ2(I) and synthesis, we reach so-called generalized controlled Bessel multipliers. Some basic properties of this class of operators are investigated. Specially, we are interested to determine cases when generalized multipliers are invertible. Subsequently, our attention is on how to express the inverse of an invertible generalized frame multiplier as a multiplier.
Hosseinnezhad,H. (2025). Generalized multipliers of controlled sequences. Journal of Frame and Matrix Theory, 2(1), 70-80. doi: 10.22034/jfmt.2025.494407.1022
MLA
Hosseinnezhad,H. . "Generalized multipliers of controlled sequences", Journal of Frame and Matrix Theory, 2, 1, 2025, 70-80. doi: 10.22034/jfmt.2025.494407.1022
HARVARD
Hosseinnezhad H. (2025). 'Generalized multipliers of controlled sequences', Journal of Frame and Matrix Theory, 2(1), pp. 70-80. doi: 10.22034/jfmt.2025.494407.1022
CHICAGO
H. Hosseinnezhad, "Generalized multipliers of controlled sequences," Journal of Frame and Matrix Theory, 2 1 (2025): 70-80, doi: 10.22034/jfmt.2025.494407.1022
VANCOUVER
Hosseinnezhad H. Generalized multipliers of controlled sequences. JFMT, 2025; 2(1): 70-80. doi: 10.22034/jfmt.2025.494407.1022
