The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces
This paper is devoted to a proof of the characterization without duality theory, using strong integrals, while eliminating any assumptions of barrelledness or equicontinuity.
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| Language: | English |
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Hindawi Limited
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000325 |
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doaj-b1dc191a63a6436e94a4dd19db66b4d52020-11-24T22:52:43ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015234534910.1155/S0161171282000325The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spacesWilliam V. Smith0Mathematics Department, The University of Mississippi, University, 38677, Mississippi, USAThis paper is devoted to a proof of the characterization without duality theory, using strong integrals, while eliminating any assumptions of barrelledness or equicontinuity.http://dx.doi.org/10.1155/S0161171282000325locally convex spacesscalar operatorsBanach space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
William V. Smith |
| spellingShingle |
William V. Smith The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces International Journal of Mathematics and Mathematical Sciences locally convex spaces scalar operators Banach space. |
| author_facet |
William V. Smith |
| author_sort |
William V. Smith |
| title |
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces |
| title_short |
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces |
| title_full |
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces |
| title_fullStr |
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces |
| title_full_unstemmed |
The Kluvanek-Kantorovitz characterization of scalar operators in locally convex spaces |
| title_sort |
kluvanek-kantorovitz characterization of scalar operators in locally convex spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1982-01-01 |
| description |
This paper is devoted to a proof of the characterization without duality theory, using strong integrals, while eliminating any assumptions of barrelledness or equicontinuity. |
| topic |
locally convex spaces scalar operators Banach space. |
| url |
http://dx.doi.org/10.1155/S0161171282000325 |
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AT williamvsmith thekluvanekkantorovitzcharacterizationofscalaroperatorsinlocallyconvexspaces AT williamvsmith kluvanekkantorovitzcharacterizationofscalaroperatorsinlocallyconvexspaces |
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