N. S. Kumar

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5 papers · 1 filter

math.FA2025

Topological Center of the Double Dual of the Orlicz FigÃ -Talamanca Herz Algebra

Arvish Dabra, N. Shravan Kumar

Let $G$ a locally compact group and $(I^¦, I^¨)$ be a complementary pair of Young functions. Let $A_{I^} ¦ (G)$ be the Orlicz analogue of the classical FigÃ -Talamanca Herz algebra $A_p(G)…

math.FA2025

Isomorphism Theorems for the Algebras of $I^¦ -$ Pseudofunctions and $I^¦ -$ Pseudomeasures

Arvish Dabra, N. Shravan Kumar

In this article, we study the isomorphism problem for the algebras of $I^¦ -$ Pseudofunctions and $I^¦ -$ Pseudomeasures, denoted by $P F_{I^} ¦ (G)$ and $P M_{I^} ¦ (G),$ respectively. More precise…

math.FA2025

Continuous field of Orlicz space on locally compact groupoids and related results

K. N. Sridharan, N. Shravan Kumar

Let $G$ be a locally compact second countable groupoid with a fixed Haar system $I^» = {I^»^{u}}_{u \in G^{0}}$ and $(I^¦, I^¨)$ be a complementary pair of $N$ -functions satisfying $Î_{…

math.FA2025

Amenability and Invariant subspaces of the algebra of pseudomeasures

Arvish Dabra, N. Shravan Kumar

Let $G$ be a locally compact group and $(I^¦, I^¨)$ a complimentary pair of Young functions. In this article, we consider the Banach algebra of $I^¨$ -pseudomeasures $P M_{I^} ¨ (G)$ and the…

math.FA2024

Ideals in the dual of introverted subspaces of $I^¨$ -pseudomeasures

Arvish Dabra, Rattan Lal, N. Shravan Kumar

Let $G$ be a locally compact group and $(I^¦, I^¨)$ a complementary pair of Young functions satisfying the $I^_{2}$ -condition. Let $A_{I^} ¦ (G)$ be the Orlicz analogue of the FigÃ -Talamanc…

Topological Center of the Double Dual of the Orlicz FigÃ -Talamanca Herz Algebra

Isomorphism Theorems for the Algebras of I^¦−Pseudofunctions and I^¦−Pseudomeasures

Continuous field of Orlicz space on locally compact groupoids and related results

Amenability and Invariant subspaces of the algebra of pseudomeasures

Ideals in the dual of introverted subspaces of I^¨-pseudomeasures

Isomorphism Theorems for the Algebras of $I^¦ -$ Pseudofunctions and $I^¦ -$ Pseudomeasures

Ideals in the dual of introverted subspaces of $I^¨$ -pseudomeasures