scholarly journals CHARACTER AMENABILITY AND CONTRACTIBILITY OF ABSTRACT SEGAL ALGEBRAS

2010 ◽  
Vol 82 (2) ◽  
pp. 274-281 ◽  
Author(s):  
MAHMOOD ALAGHMANDAN ◽  
RASOUL NASR-ISFAHANI ◽  
MEHDI NEMATI
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Segal Algebra ◽  
Character Amenability ◽  
Segal Algebras

AbstractLet ℬ be an abstract Segal algebra with respect to 𝒜. For a nonzero character ϕ on 𝒜, we study ϕ-amenability, and ϕ-contractibility of 𝒜 and ℬ. We then apply these results to abstract Segal algebras related to locally compact groups.

scholarly journals ESSENTIAL AMENABILITY OF ABSTRACT SEGAL ALGEBRAS

2009 ◽  
Vol 79 (2) ◽  
pp. 319-325 ◽  
Author(s):  
H. SAMEA
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Segal Algebra ◽  
Amenable Banach Algebra ◽  
Segal Algebras

AbstractA number of well-known results of Ghahramani and Loy on the essential amenability of Banach algebras are generalized. It is proved that a symmetric abstract Segal algebra with respect to an amenable Banach algebra is essentially amenable. Applications to locally compact groups are given.

scholarly journals ON n-IDEAL AMENABILITY OF CERTAIN BANACH ALGEBRAS

2011 ◽  
Vol 86 (1) ◽  
pp. 90-99 ◽  
Author(s):  
ZEINAB KAMALI ◽  
MEHDI NEMATI
Keyword(s):  
Banach Algebras ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Ideal Amenability ◽  
Segal Algebras

AbstractIn this paper we consider some notions of amenability such as ideal amenability, n-ideal amenability and approximate n-ideal amenability. The first two were introduced and studied by Gordji, Yazdanpanah and Memarbashi. We investigate some properties of certain Banach algebras in each of these classes. Results are also given for Segal algebras on locally compact groups.

scholarly journals ESSENTIAL CHARACTER AMENABILITY OF BANACH ALGEBRAS

2011 ◽  
Vol 84 (3) ◽  
pp. 372-386 ◽  
Author(s):  
RASOUL NASR-ISFAHANI ◽  
MEHDI NEMATI
Keyword(s):  
Banach Algebra ◽  
Banach Algebras ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Cambridge Philos ◽  
Character Amenability

AbstractFor a Banach algebra 𝒜 and a character ϕ on 𝒜, we introduce and study the notion of essential ϕ-amenability of 𝒜. We give some examples to show that the class of essentially ϕ-amenable Banach algebras is larger than that of ϕ-amenable Banach algebras introduced by Kaniuth et al. [‘On ϕ-amenability of Banach algebras’, Math. Proc. Cambridge Philos. Soc.144 (2008), 85–96]. Finally, we characterize the essential ϕ-amenability of various Banach algebras related to locally compact groups.

scholarly journals APPROXIMATE AMENABILITY OF SEGAL ALGEBRAS

2013 ◽  
Vol 95 (1) ◽  
pp. 20-35 ◽  
Author(s):  
MAHMOOD ALAGHMANDAN
Keyword(s):  
Abelian Group ◽  
Compact Abelian Group ◽  
Amenable Group ◽  
Locally Compact Abelian Group ◽  
Compact Groups ◽  
Fourier Algebra ◽  
Locally Compact ◽  
Segal Algebra ◽  
Approximate Amenability ◽  
Segal Algebras

AbstractIn this paper we first show that for a locally compact amenable group $G$, every proper abstract Segal algebra of the Fourier algebra on $G$ is not approximately amenable; consequently, every proper Segal algebra on a locally compact abelian group is not approximately amenable. Then using the hypergroup generated by the dual of a compact group, it is shown that all proper Segal algebras of a class of compact groups including the $2\times 2$ special unitary group, $\mathrm{SU} (2)$, are not approximately amenable.

scholarly journals Isomorphisms of some Segal algebras and their multiplier algebras

1982 ◽  
Vol 25 (3) ◽  
pp. 441-451
Author(s):  
U.B. Tewari ◽  
K. Parthasarathy
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Isometric Isomorphism ◽  
Multiplier Algebras ◽  
Segal Algebras

Let G1, G2, be locally compact groups and let S1, S2, be Segal algebras on G1, G2, respectively. Under certain conditions on G1, G2, and S1, S2, we prove that if there is a bipositive or isometric isomorphism between S1, S2, or between their multiplier algebras then G1, and G2, are topologically isomorphic.

Homological properties of banach modules over abstract segal algebras

2017 ◽  
Vol 67 (1) ◽  
pp. 191-198
Author(s):  
Rasoul Nasr-Isfahani ◽  
Mehdi Nemati ◽  
Sima Soltani Renani
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Banach Modules ◽  
Segal Algebras

Abstract We study projectivity and injectivity for Banach modules over abstract Segal algebras. We then apply these results to abstract Segal algebras related to locally compact groups.

On the Lp-conjecture for locally compact groups

2007 ◽  
Vol 89 (3) ◽  
pp. 237-242 ◽  
Author(s):  
F. Abtahi ◽  
R. Nasr-Isfahani ◽  
A. Rejali
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact
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