A characterization of singular endomorphisms of a barrelled Pták space
The concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled Pták (fully complete) space and it is shown that...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1982-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171282000490 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548467169296384 |
|---|---|
| author | Damir Franekić |
| author_facet | Damir Franekić |
| author_sort | Damir Franekić |
| collection | DOAJ |
| description | The concept of topological divisor of zero has been extended to endomorphisms
of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled Pták (fully complete) space and it is shown that each such endomorphism is a topological divisor of zero. Furthermore, properties of the adjoint of an endomorphism are characterized in terms of topological divisors of zero, and the effect of change of operator topology on such a characterization is given. |
| format | Article |
| id | doaj-art-782c8cd20b0744c896eef59ab2e9a0f6 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-782c8cd20b0744c896eef59ab2e9a0f62025-02-03T06:14:02ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015352953610.1155/S0161171282000490A characterization of singular endomorphisms of a barrelled Pták spaceDamir Franekić01304 Spring Street, Bethlehem, PA 18018, USAThe concept of topological divisor of zero has been extended to endomorphisms of a locally convex topological vector space (LCTVS). A characterization of singular endomorphisms, similar to that of Yood [1], is obtained for endomorphisms of a barrelled Pták (fully complete) space and it is shown that each such endomorphism is a topological divisor of zero. Furthermore, properties of the adjoint of an endomorphism are characterized in terms of topological divisors of zero, and the effect of change of operator topology on such a characterization is given.http://dx.doi.org/10.1155/S0161171282000490 |
| spellingShingle | Damir Franekić A characterization of singular endomorphisms of a barrelled Pták space International Journal of Mathematics and Mathematical Sciences |
| title | A characterization of singular endomorphisms of a barrelled Pták space |
| title_full | A characterization of singular endomorphisms of a barrelled Pták space |
| title_fullStr | A characterization of singular endomorphisms of a barrelled Pták space |
| title_full_unstemmed | A characterization of singular endomorphisms of a barrelled Pták space |
| title_short | A characterization of singular endomorphisms of a barrelled Pták space |
| title_sort | characterization of singular endomorphisms of a barrelled ptak space |
| url | http://dx.doi.org/10.1155/S0161171282000490 |
| work_keys_str_mv | AT damirfranekic acharacterizationofsingularendomorphismsofabarrelledptakspace AT damirfranekic characterizationofsingularendomorphismsofabarrelledptakspace |