On the ideals of extended quasi-nilpotent Banach algebras
Given a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
1991-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171291000662 |
| id |
doaj-19a7fa20de0445d3aca25f838fc0f839 |
|---|---|
| record_format |
Article |
| spelling |
doaj-19a7fa20de0445d3aca25f838fc0f8392020-11-25T01:04:42ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114348148410.1155/S0161171291000662On the ideals of extended quasi-nilpotent Banach algebrasMorteza Seddighin0Department of Mathematics, PanHandle State University, Goodwell 73939, OK, USAGiven a quasi-nilpotent Banach algebra A, we will use the results of Seddighin [2], to study the properties of elements which belong to a proper closed two sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with identity.http://dx.doi.org/10.1155/S0161171291000662Banach algebraspectrumquasi-nilpotent Banach algebras nonperturbing element. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Morteza Seddighin |
| spellingShingle |
Morteza Seddighin On the ideals of extended quasi-nilpotent Banach algebras International Journal of Mathematics and Mathematical Sciences Banach algebra spectrum quasi-nilpotent Banach algebras nonperturbing element. |
| author_facet |
Morteza Seddighin |
| author_sort |
Morteza Seddighin |
| title |
On the ideals of extended quasi-nilpotent Banach algebras |
| title_short |
On the ideals of extended quasi-nilpotent Banach algebras |
| title_full |
On the ideals of extended quasi-nilpotent Banach algebras |
| title_fullStr |
On the ideals of extended quasi-nilpotent Banach algebras |
| title_full_unstemmed |
On the ideals of extended quasi-nilpotent Banach algebras |
| title_sort |
on the ideals of extended quasi-nilpotent banach algebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1991-01-01 |
| description |
Given a quasi-nilpotent Banach algebra A, we will use the results of
Seddighin [2], to study the properties of elements which belong to a proper closed two
sided ideal of A¯ and A¯¯. Here A¯ is the extension of A to a Banach Algebra with
identity. |
| topic |
Banach algebra spectrum quasi-nilpotent Banach algebras nonperturbing element. |
| url |
http://dx.doi.org/10.1155/S0161171291000662 |
| work_keys_str_mv |
AT mortezaseddighin ontheidealsofextendedquasinilpotentbanachalgebras |
| _version_ |
1725196589060849664 |