| Tartalom: |
http://real.mtak.hu/5829/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras
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| Létrehozó: |
Hatori, Osamu
Molnár, Lajos
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| Kiadó: |
Elsevier
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| Dátum: |
2014
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| Téma: |
QA74 Analysis / analĂzis
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| Tartalmi leírás: |
We show that the existence of a surjective isometry (which is merely a distance preserving map) between the unitary groups of unital C*-algebras implies the existence of a Jordan *-isomorphism between the algebras. In the case of von Neumann algebras we describe the structure of those isometries showing that any of them is extendible to a real linear Jordan *-isomorphism between the underlying algebras multiplied by a fixed unitary element. We present a result of similar spirit for the surjective Thompson isometries between the spaces of all invertible positive elements in unital C*-algebras.
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| Nyelv: |
magyar
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Hatori, Osamu and Molnár, Lajos (2014) Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in C*-algebras. Journal of Mathematical Analysis and Applications, 409 (1). pp. 158-167. ISSN 0022-247X
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| Kapcsolat: |
doi:10.1016/j.jmaa.2013.06.065
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| Létrehozó: |
info:eu-repo/semantics/openAccess
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