Ideal Amenability of Banach Algebras and Some Hereditary Properties
Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hered...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Tehran
2010-12-01
|
| Series: | Journal of Sciences, Islamic Republic of Iran |
| Subjects: | |
| Online Access: | https://jsciences.ut.ac.ir/article_21586_454574cb8cc2882f6c18f718a09e9ebe.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849387439929425920 |
|---|---|
| author | M. Eshaghi Gordji |
| author_facet | M. Eshaghi Gordji |
| author_sort | M. Eshaghi Gordji |
| collection | DOAJ |
| description | Let A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability. |
| format | Article |
| id | doaj-art-34fd018a9d414e7e853ce51ee3e9dff2 |
| institution | Kabale University |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2010-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-34fd018a9d414e7e853ce51ee3e9dff22025-08-20T03:53:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142010-12-0121421586Ideal Amenability of Banach Algebras and Some Hereditary PropertiesM. Eshaghi GordjiLet A be a Banach algebra. A is called ideally amenable if for every closed ideal I of A, the first cohomology group of A with coefficients in I* is trivial. We investigate the closed ideals I for which H1 (A,I* )={0}, whenever A is weakly amenable or a biflat Banach algebra. Also we give some hereditary properties of ideal amenability.https://jsciences.ut.ac.ir/article_21586_454574cb8cc2882f6c18f718a09e9ebe.pdfderivationideally amenableweakly amenablebiflat |
| spellingShingle | M. Eshaghi Gordji Ideal Amenability of Banach Algebras and Some Hereditary Properties Journal of Sciences, Islamic Republic of Iran derivation ideally amenable weakly amenable biflat |
| title | Ideal Amenability of Banach Algebras and
Some Hereditary Properties |
| title_full | Ideal Amenability of Banach Algebras and
Some Hereditary Properties |
| title_fullStr | Ideal Amenability of Banach Algebras and
Some Hereditary Properties |
| title_full_unstemmed | Ideal Amenability of Banach Algebras and
Some Hereditary Properties |
| title_short | Ideal Amenability of Banach Algebras and
Some Hereditary Properties |
| title_sort | ideal amenability of banach algebras and some hereditary properties |
| topic | derivation ideally amenable weakly amenable biflat |
| url | https://jsciences.ut.ac.ir/article_21586_454574cb8cc2882f6c18f718a09e9ebe.pdf |
| work_keys_str_mv | AT meshaghigordji idealamenabilityofbanachalgebrasandsomehereditaryproperties |