Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inne...
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Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/748159 |
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doaj-35c4cb7ec55d466f9091227ae072618a2020-11-25T00:53:02ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/748159748159Generalized Derivations and Bilocal Jordan Derivations of Nest AlgebrasDangui Yan0Chengchang Zhang1College of Mathematics and Physics, Chongqing University of Post and Telecom, Chongqing 400086, ChinaCollege of Communication Engineering, Chongqing University, Chongqing 400044, ChinaLet H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inner derivations, and bilocal Jordan derivations are inner derivations.http://dx.doi.org/10.1155/2011/748159 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Dangui Yan Chengchang Zhang |
| spellingShingle |
Dangui Yan Chengchang Zhang Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras International Journal of Mathematics and Mathematical Sciences |
| author_facet |
Dangui Yan Chengchang Zhang |
| author_sort |
Dangui Yan |
| title |
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras |
| title_short |
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras |
| title_full |
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras |
| title_fullStr |
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras |
| title_full_unstemmed |
Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras |
| title_sort |
generalized derivations and bilocal jordan derivations of nest algebras |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2011-01-01 |
| description |
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, A is the closed subspace lattice including 0 an H, then A is a nest, accordingly alg A={T∈B(H):TN⊆N, ∀N∈A} is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inner derivations, and bilocal Jordan derivations are inner derivations. |
| url |
http://dx.doi.org/10.1155/2011/748159 |
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AT danguiyan generalizedderivationsandbilocaljordanderivationsofnestalgebras AT chengchangzhang generalizedderivationsandbilocaljordanderivationsofnestalgebras |
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1725239508178305024 |