25 Feb 2025

Wiener Type Theorem for Some Operator Algebras and Elements of Banach Algebra


Authors :- Dabhi P.A.; Solanki K.B.
Publication :- Journal of Mathematical Sciences (United States), Springer, 2025

Weighted power analogues of Wiener type theorem are obtained for off-diagonal decay rates of inverses of (infinite) matrices of operators, vector valued functions that are periodic at infinity, operators whose matrix entries are generated using (Parseval) frame, fusion frame, fuzzy fusion frame and frame, almost periodic elements of Banach algebras and difference operators.

DOI Link :- https://doi.org/10.1007/s10958-025-07577-8