6 papers
The Socle and finite dimensionality of some Banach algebras
Ali Ghaffari, Ali Reza Medghalchi
The purpose of this note is to describe some algebraic conditions on a Banach algebra which force it to be finite dimensional. One of the main results in Theorem~2 which states tha…
Restricted algebras on inverse semigroups III, Fourier algebra
Massoud Amini, Alireza Medghalchi
The Fourier and Fourier-Stieltjes algebras and of a locally compact group are introduced and studied in 60's by Piere Eymard in his PhD thesis. If is a locall…
Restricted algebras on inverse semigroups I, representation theory
Massoud Amini, Alireza Medghalchi
The relation between representations and positive definite functions is a key concept in harmonic analysis on topological groups. Recently this relation has been studied on topolog…
Harmonic Analysis on Double Coset Spaces
Massoud Amini, Alireza Medghalchi
We prove the existance and uniqueness of quasi-invariant measure on double cost space and study the Fourier and Fourier-Stieltjes algebras of these spaces.
Amenability of the Algebras R(S), F(S) of a Topological Semigroup S
Massoud Amini, Alireza Medghalchi
For a locally compact Hausdorff semigroup S, the representation algebra R(S) was extensively studied by Dunkl and Ramirez. The Fourier-Stieltjes algebra F(S) of a topolo…
Fourier Algebras On Topological Foundation *-Semigroups
Massoud Amini, Alireza Medghalchi
We introduce the notion of the Fourier and Fouier-Stieltjes algebra of a topological *-semigroup and show that these are commutative Banach algebras. For a class of foundation semi…