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https://doi.org/10.1007/s10114-012-0172-6
DC Field | Value | |
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dc.title | Derivations on the algebra of operators in hilbert C*-modules | |
dc.contributor.author | Li, P.T. | |
dc.contributor.author | Han, D.G. | |
dc.contributor.author | Tang, W.S. | |
dc.date.accessioned | 2014-10-28T02:33:35Z | |
dc.date.available | 2014-10-28T02:33:35Z | |
dc.date.issued | 2012-08 | |
dc.identifier.citation | Li, P.T., Han, D.G., Tang, W.S. (2012-08). Derivations on the algebra of operators in hilbert C*-modules. Acta Mathematica Sinica, English Series 28 (8) : 1615-1622. ScholarBank@NUS Repository. https://doi.org/10.1007/s10114-012-0172-6 | |
dc.identifier.issn | 14398516 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103121 | |
dc.description.abstract | Let M be a full Hilbert C*-module over a C*-algebra A, and let End* A(M) be the algebra of adjointable operators on M. We show that if A is unital and commutative, then every derivation of End* A(M) is an inner derivation, and that if A is σ-unital and commutative, then innerness of derivations on "compact" operators completely decides innerness of derivations on End* A(M). If A is unital (no commutativity is assumed) such that every derivation of A is inner, then it is proved that every derivation of End*A(L n(A)) is also inner, where L n(A) denotes the direct sum of n copies of A. In addition, in case A is unital, commutative and there exist x 0, y 0 ∈ M such that 〈x 0, y 0〉 = 1, we characterize the linear A-module homomorphisms on End* A(M) which behave like derivations when acting on zero products. © 2012 Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s10114-012-0172-6 | |
dc.source | Scopus | |
dc.subject | C*-algebras | |
dc.subject | Derivations, inner derivations | |
dc.subject | Hilbert C*-modules | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1007/s10114-012-0172-6 | |
dc.description.sourcetitle | Acta Mathematica Sinica, English Series | |
dc.description.volume | 28 | |
dc.description.issue | 8 | |
dc.description.page | 1615-1622 | |
dc.identifier.isiut | 000306172700009 | |
Appears in Collections: | Staff Publications |
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