| Title: | An application of the Sakai's theorem to the characterization of H*-algebras |
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| Authors: | ID Zalar, Borut (Author) |
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| Files: |  International_Journal_of_Mathematics_and_Mathematical_Sciences_1995_Zalar_An_application_of_the_Sakai_s_theorem_to_the_characterization.pdf (2,06 MB)
MD5: 39CFD139A3AD7485E4C4F34619AB1F55
 http://www.hindawi.com/journals/ijmms/1995/203069/abs/
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FGPA - Faculty of Civil Engineering, Transportation Engineering and Architecture
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| Abstract: | The well-known Sakai's theorem, which states that every derivation acting on a von Neumann algebra is inner, is used to obtain a new elegant proof of the Saworotnow's characterization theorem for associative ▫$H^\ast$▫-algebras via two-sided ▫$H^\ast$▫-algebras. This proof completely avoids structure theory. |
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| Keywords: | mathematics, functional analysis, ▫$H^\ast$▫-algebra, involution, automorphism, derivation, centralizer, von Neumann algebra |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 1995 |
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| Number of pages: | str. 317-322 |
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| Numbering: | Letn. 18, št. 2 |
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| PID: | 20.500.12556/DKUM-66190  |
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| ISSN: | 0161-1712 |
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| UDC: | 517.986 |
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| ISSN on article: | 0161-1712 |
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| COBISS.SI-ID: | 8126724 |
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| DOI: | 10.1155/S0161171295000408 |
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| NUK URN: | URN:SI:UM:DK:HWKRSWFK |
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| Publication date in DKUM: | 14.06.2017 |
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| Views: | 993 |
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| Downloads: | 191 |
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| Metadata: |    |
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| Categories: | Misc.
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