P. Dabhi

collaborators

6 papers

math.FA2026

On Multiplicity of Uniform Norms and Maximal Spectral Substructures in Commutative Banach Algebras

Jekwin J. Dabhi, Prakash A. Dabhi

Let $A$ be a semisimple commutative Banach algebra. It is shown that either $A$ has exactly one uniform norm or it admits uncountably many uniform norms. Further,…

math.FA2026

On the BSE- property of vector valued Beurling algebra $L^{1} (G, I ¨ , A)$

Jekwin Dabhi, Prakash Dabhi

Let $G$ be a locally compact abelian group, and let $I ¨ : G \to [1, \infty)$ be a measurable weight, i.e., $I ¨ $ is measurable, and $I ¨ (s + t) \leq I ¨ (s) I ¨ (t)$ for all $s, t \in G$ . Let $…

math.FA2026

Wiener type theorems for countable limits of quasi-Beurling algebras and maximizing results on weights

Prakash A. Dabhi, Karishman B. Solanki

We establish the vector-valued Wiener type theorems for countable projective and inductive limits of quasi-Banach algebras in a weighted setting for both finite and infinite dimens…

math.FA2026

Inverse-closedness of weighted Schur and BGS type quasi-Banach algebras

Prakash A. Dabhi, Karishman B. Solanki

We prove that the weighted quasi-Banach algebras of operator valued matrices satisfying Schur and Baskakov-Gohberg-SjÃ¶strand (BGS) conditions are inverse-closed in the Banach alge…

math.FA2026

On the BSE and BED properties of the Beurling algebra $L^{1} (G, I ¨ )$

Jekwin J. Dabhi, Prakash A. Dabhi

Let $G$ be a locally compact abelian group, and let $I ¨ : G \to [1, \infty)$ be a weight, i.e., $I ¨ $ is measurable, $I ¨ $ is locally bounded and $I ¨ (s + t) \leq I ¨ (s) I ¨ (t)$ for all $s, t…

math.FA2025

Weighted inversion of vector valued Dirichlet series

Prakash A. Dabhi, Karishman B. Solanki

Let $I^ \subset [0, \infty)$ be an additive semigroup with $0 \in I^$ , $I ¨ $ be an admissible weight on $I^$ , $A$ be a unital Banach algebra, and let $f(s)=\sum_{Î»\inÎ} f_Î»e^…

On Multiplicity of Uniform Norms and Maximal Spectral Substructures in Commutative Banach Algebras

On the BSE- property of vector valued Beurling algebra L1(G,I¨,A)

Wiener type theorems for countable limits of quasi-Beurling algebras and maximizing results on weights

Inverse-closedness of weighted Schur and BGS type quasi-Banach algebras

On the BSE and BED properties of the Beurling algebra L1(G,I¨)

Weighted inversion of vector valued Dirichlet series

On the BSE- property of vector valued Beurling algebra $L^{1} (G, I ¨ , A)$

On the BSE and BED properties of the Beurling algebra $L^{1} (G, I ¨ )$