Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 허재성 | - |
dc.date.accessioned | 2018-02-22T04:39:08Z | - |
dc.date.available | 2018-02-22T04:39:08Z | - |
dc.date.issued | 2012-02 | - |
dc.identifier.citation | Mathematische Nachrichten, 2012, 285(2-3), P.252-264 | en_US |
dc.identifier.issn | 0025-584X | - |
dc.identifier.uri | http://onlinelibrary.wiley.com/doi/10.1002/mana.201010003/abstract | - |
dc.description.abstract | In this paper we introduce some notion of asymptotic derivations of a C*- and W*-dynamical systems which naturally arises from a one-parameter group of automorphisms. We show that an asymptotic derivation on a unital simple C*-algebra or a von Neumann algebra is asymptotically inner. Every asymptotic derivation on finite dimensional C*-algebras is induced by an inner derivation. We prove that any asymptotic derivation on commutative von Neumann algebras have a strong limit zero. An asymptotic derivation on the hyperfinite II1-factor given by some one-parameter group of automorphisms can be induced by a (inner) derivation. Finally, we show that every asymptotic Jordan derivation of a C*-dynamical system is an asymptotic derivation and is also induced by a derivation if there exists a limit. | en_US |
dc.description.sponsorship | This work was supported by the Korea Science and Engineering Foundation (KOSEF) grant funded by the Korea government (MEST) (No. R01-2007-000-20064-0). A part of this research was carried out while he author was visiting the KIAS. He is grateful to professors and the staff in the KIAS for their hospitality. | en_US |
dc.language.iso | en | en_US |
dc.publisher | Wiley-Blackwell | en_US |
dc.subject | Derivations | en_US |
dc.subject | one-parameter group of automorphisms | en_US |
dc.subject | asymptotic derivations | en_US |
dc.subject | Jordan derivation | en_US |
dc.subject | MSC (2010) Primary: 46L57 | en_US |
dc.subject | Secondary: 47D03 | en_US |
dc.title | On notion of asymptotic derivations | en_US |
dc.type | Article | en_US |
dc.relation.no | 2-3 | - |
dc.relation.volume | 285 | - |
dc.identifier.doi | 10.1002/mana.201010003 | - |
dc.relation.page | 252-264 | - |
dc.relation.journal | MATHEMATISCHE NACHRICHTEN | - |
dc.contributor.googleauthor | Heo, Jaeseong | - |
dc.relation.code | 2012206529 | - |
dc.sector.campus | S | - |
dc.sector.daehak | COLLEGE OF NATURAL SCIENCES[S] | - |
dc.sector.department | DEPARTMENT OF MATHEMATICS | - |
dc.identifier.pid | hjs | - |
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