On inverse closedness of weighted Schur and BGS type $p$- normed algebras
Prakash A. Dabhi, Karishman B. Solanki
Published: 2025/9/20
Abstract
We prove that the $p$- normed weighted algebras of operator valued matrices satisfying Schur and Baskakov-Gohberg-Sj\"ostrand (BGS) conditions are inverse closed in the Hilbert space $B(\ell^2(X,\mathcal{H}))$ provided the weight in consideration is admissible, where $\mathcal{H}$ is a Hilbert space and $X$ is a relatively separated subset of $\mathbb{R}^d$.