H V Dedania
Articles written in Proceedings – Mathematical Sciences
Volume 105 Issue 4 November 1995 pp 405-409
Uniqueness of the uniform norm and adjoining identity in Banach algebras
Let
Volume 113 Issue 2 May 2003 pp 179-182
Let
Volume 115 Issue 4 November 2005 pp 437-444
A note on generalized characters
For a compactly generated LCA group G, it is shown that the set
Volume 121 Issue 4 November 2011 pp 417-433
Multipliers of Weighted Semigroups and Associated Beurling Banach Algebras
S J Bhatt P A Dabhi H V Dedania
Given a weighted discrete abelian semigroup $(S,\omega)$, the semigroup $M_\omega(S)$ of 𝜔-bounded multipliers as well as the Rees quotient $M_\omega(S)/S$ together with their respective weights $\overline{\omega}$ and $\overline{\omega}_q$ induced by 𝜔 are studied; for a large class of weights 𝜔, the quotient $\ell^1(M_\omega(S),\overline{\omega})/\ell^1(S,\omega)$ is realized as a Beurling algebra on the quotient semigroup $M_\omega(S)/S$; the Gel’fand spaces of these algebras are determined; and Banach algebra properties like semisimplicity, uniqueness of uniform norm and regularity of associated Beurling algebras on these semigroups are investigated. The involutive analogues of these are also considered. The results are exhibited in the context of several examples.
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