Real Gel'fand-Mazur division algebras
We show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203211066 |
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| _version_ | 1832546587810725888 |
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| author | Mati Abel Olga Panova |
| author_facet | Mati Abel Olga Panova |
| author_sort | Mati Abel |
| collection | DOAJ |
| description | We show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra and all elements in the complexification (A˜,τ˜) of a commutative real exponentially galbed algebra (A,τ) with bounded elements are bounded if the multiplication in (A,τ) is jointly continuous. We give conditions for a commutative strictly real topological division algebra to be a commutative real Gel'fand-Mazur division algebra. |
| format | Article |
| id | doaj-art-2f087dd496034d61ae21060ed652b480 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2f087dd496034d61ae21060ed652b4802025-02-03T06:48:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003402541255210.1155/S0161171203211066Real Gel'fand-Mazur division algebrasMati Abel0Olga Panova1Institute of Pure Mathematics, University of Tartu, 2 J. Liivi Street, Tartu 50409, EstoniaInstitute of Pure Mathematics, University of Tartu, 2 J. Liivi Street, Tartu 50409, EstoniaWe show that the complexification (A˜,τ˜) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra and all elements in the complexification (A˜,τ˜) of a commutative real exponentially galbed algebra (A,τ) with bounded elements are bounded if the multiplication in (A,τ) is jointly continuous. We give conditions for a commutative strictly real topological division algebra to be a commutative real Gel'fand-Mazur division algebra.http://dx.doi.org/10.1155/S0161171203211066 |
| spellingShingle | Mati Abel Olga Panova Real Gel'fand-Mazur division algebras International Journal of Mathematics and Mathematical Sciences |
| title | Real Gel'fand-Mazur division algebras |
| title_full | Real Gel'fand-Mazur division algebras |
| title_fullStr | Real Gel'fand-Mazur division algebras |
| title_full_unstemmed | Real Gel'fand-Mazur division algebras |
| title_short | Real Gel'fand-Mazur division algebras |
| title_sort | real gel fand mazur division algebras |
| url | http://dx.doi.org/10.1155/S0161171203211066 |
| work_keys_str_mv | AT matiabel realgelfandmazurdivisionalgebras AT olgapanova realgelfandmazurdivisionalgebras |