B -AND B - COMPLETENESS IN LOCALLY CONVEX ALGEBRAS AND THE E x THEOREM
Let E be a B-complete (B -complete) locally convex algebra and $ the topological direct sum of countably many copies of the scalar field with a jointly continuous algebra multiplication. It has been shown that E is also B-complete (B -complete) for componentwise multiplication on E . B-and Br-...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1994-09-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31185_a0110ca4fac8d25801f81f0f6efc7b7b.pdf |
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| collection | DOAJ |
| description | Let E be a B-complete (B -complete) locally convex algebra and $ the
topological direct sum of countably many copies of the scalar field with a
jointly continuous algebra multiplication. It has been shown that E is also
B-complete (B -complete) for componentwise multiplication on E . B-and
Br-completeness of E , the unitization of E, and also of E x for other
multiplications on E has been studied. |
| format | Article |
| id | doaj-art-2b9cd1022de0440a99185cb70f2a4add |
| institution | OA Journals |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1994-09-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-2b9cd1022de0440a99185cb70f2a4add2025-08-20T02:25:51ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141994-09-015231185B -AND B - COMPLETENESS IN LOCALLY CONVEX ALGEBRAS AND THE E x THEOREMLet E be a B-complete (B -complete) locally convex algebra and $ the topological direct sum of countably many copies of the scalar field with a jointly continuous algebra multiplication. It has been shown that E is also B-complete (B -complete) for componentwise multiplication on E . B-and Br-completeness of E , the unitization of E, and also of E x for other multiplications on E has been studied.https://jsciences.ut.ac.ir/article_31185_a0110ca4fac8d25801f81f0f6efc7b7b.pdf |
| spellingShingle | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM Journal of Sciences, Islamic Republic of Iran |
| title | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM |
| title_full | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM |
| title_fullStr | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM |
| title_full_unstemmed | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM |
| title_short | B -AND B - COMPLETENESS IN LOCALLY
CONVEX ALGEBRAS AND THE E x
THEOREM |
| title_sort | b and b completeness in locally convex algebras and the e x theorem |
| url | https://jsciences.ut.ac.ir/article_31185_a0110ca4fac8d25801f81f0f6efc7b7b.pdf |