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Kazemipour, Seyyed Ali
- Quotient Amenability of Banach Algebras
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Authors
Affiliations
1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Gonbad Kavous University, P. O. Box 163, Gonbad e-Kavous, Golestan, IR
1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR
2 Department of Mathematics, Gonbad Kavous University, P. O. Box 163, Gonbad e-Kavous, Golestan, IR
Source
Indian Journal of Science and Technology, Vol 8, No 13 (2015), Pagination: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 algebraKeywords
Amenability, C*-Algebra, Fourier Algebra, Quotient Algebra- Pointwise (Approximate) Versions of Amenability and Connes Amenability with Application over some Algebras
Abstract Views :240 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR
1 Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, IR