Abstract
Let H be a complex Hilbert space and let T (N) be a nest algebra on H. We characterize linear maps f; g; h : T (N) → T (N) satisfying f([x; y]) = [g(x); y] + [x; h(y)] for all x; y ∈ T (N).
| Original language | English |
|---|---|
| Pages (from-to) | 767-777 |
| Number of pages | 11 |
| Journal | Houston Journal of Mathematics |
| Volume | 40 |
| Issue number | 3 |
| Publication status | Published - 2014 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Maps characterized by lie products on nest algebras. / Liu, Cheng Kai.
In: Houston Journal of Mathematics, Vol. 40, No. 3, 01.01.2014, p. 767-777.Research output: Contribution to journal › Article
TY - JOUR
T1 - Maps characterized by lie products on nest algebras
AU - Liu, Cheng Kai
PY - 2014/1/1
Y1 - 2014/1/1
N2 - Let H be a complex Hilbert space and let T (N) be a nest algebra on H. We characterize linear maps f; g; h : T (N) → T (N) satisfying f([x; y]) = [g(x); y] + [x; h(y)] for all x; y ∈ T (N).
AB - Let H be a complex Hilbert space and let T (N) be a nest algebra on H. We characterize linear maps f; g; h : T (N) → T (N) satisfying f([x; y]) = [g(x); y] + [x; h(y)] for all x; y ∈ T (N).
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UR - http://www.scopus.com/inward/citedby.url?scp=84908276919&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:84908276919
VL - 40
SP - 767
EP - 777
JO - Houston Journal of Mathematics
JF - Houston Journal of Mathematics
SN - 0362-1588
IS - 3
ER -