| Title: | On Euclidean algebra of hermitian operators on a quadratic Hilbert space |
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| Authors: | ID Strašek, Rok (Author) |
| Files: | http://dx.doi.org/10.1016/j.laa.2005.12.005
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| Language: | English |
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| Work type: | Unknown |
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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: | We solve the problem of finding the best possible constant of ultraprimeness for the special class of Euclidean algebra called algebra of hermitian operators on a quaternionic Hilbert space. More precisely, we prove that for algebra of hermitian operators, equipped with spectral norm, the best possibleconstant of ultraprimeness is 1/2. |
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| Keywords: | mathematics, Euclidean algebras, quaternionic Hilbert space, ultraprime algebras, Jacobson-McCrimmon operator, spectral norm |
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| Year of publishing: | 2006 |
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| PID: | 20.500.12556/DKUM-25674-9a9dfd92-aadb-1bc1-7753-15e1743bba3a  |
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| UDC: | 517.986 |
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| ISSN on article: | 0024-3795 |
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| COBISS.SI-ID: | 10178838  |
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| NUK URN: | URN:SI:UM:DK:QIYYGLLO |
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| Publication date in DKUM: | 30.05.2012 |
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| Views: | 2115 |
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| Downloads: | 64 |
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| Metadata: |  |
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| Categories: | Misc.
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