Quotient Amenability of Banach Algebras

Seyyed Ali Kazemipour   and Mohammad Fozouni

doi:10.17485/ijst/2015/v8i13/51805

Article

VIEWS 769
PDF 308

Abstract
Full-Text HTML
Full-Text PDF
How to Cite

Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i13/51805

Year: 2015, Volume: 8, Issue: 13, Pages: 1-7

Original Article

Quotient Amenability of Banach Algebras

Seyyed Ali Kazemipour^1* and Mohammad Fozouni²

¹Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran; [email protected], [email protected]

²Department of Mathematics, Gonbad Kavous University, P. O. Box 163, Gonbad e-Kavous, Golestan, Iran; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Let A be a Banach algebra and I be a non-zero closed two-sided ideal of A. We say that the Banach algebra A is I-quotient amenable if the quotient Banach algebra A / I is amenable. In this paper we study this notion and give a sufficient condition for I-quotient amenability. Also, we provide a characterization of I-quotient amenability whenever I has a bounded approximate identity. We prove that this notion may be coincide with amenability, then apply this result to give a new characterization for amenability of C * -algebras. Finally, we give some results over the Fourier algebra.

Keywords: Amenability, C* -Algebra, Fourier Algebra, Quotient Algebra