Quotient Amenability of Banach Algebras
| Autor: | Mohammad Fozouni, Seyyed Ali Kazemipour |
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| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Indian Journal of Science and Technology. 8 |
| ISSN: | 0974-5645 0974-6846 |
| DOI: | 10.17485/ijst/2015/v8i13/51805 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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