P. Dabhi

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20222026

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math.FA2026

The BSE Property for Weighted Banach Algebras of Dirichlet Series

Prakash A. Dabhi

Let $ω : N \to [1, \infty)$ be a weight on the multiplicative semigroup of natural numbers. We investigate the Bochner-Schoenberg-Eberlein (BSE) property for the weighted B…

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 $L^{1} (G, ω, A)$

Jekwin Dabhi, Prakash Dabhi

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

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

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

Jekwin J. Dabhi, Prakash A. Dabhi

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

math.FA2025

Weighted inversion of vector valued Dirichlet series

Prakash A. Dabhi, Karishman B. Solanki

Let $Λ \subset [0, \infty)$ be an additive semigroup with $0 \in Λ$ , $ω$ be an admissible weight on $Λ$ , $A$ be a unital Banach algebra, and let $f (s) = \sum_{λ \in Λ} f_{λ} e^{- λ s}$ …

The BSE Property for Weighted Banach Algebras of Dirichlet Series

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

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

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

On the BSE and BED properties of the Beurling algebra L1(G,ω)

Weighted inversion of vector valued Dirichlet series

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

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