Automatic continuity, bases and radicals in the metrized algebras
The automatic continuity of a linear multiplicative operator T: X→Y, where X and Y are real complete metrizable algebras and Y semi-simple, is proved. It is shown that a complex Frechét algebra with absolute orthogonal basis (xi) (orthogonal in the sense that xixj=0 if i ≠ j) is a commutative symmet...
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8046 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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