1. School of Mathematics and Statistics, Xidian University, Xi'an 710071, P. R. China;
2. School of Mathematical Sciences, Fudan University, Shanghai 200433, P. R. China
Let N be a nontrivial complete nest on a Hilbert space H. We say that φ = {φ(n)}n∈N is a higher derivable linear mapping at G if φ(n)(ST) = ∑#em/em#+j=nφ(i)(S)φj(T) for all n ∈ N and S, T ∈ algN with ST = G. An element G ∈ algN is called a higher all-derivable point of algN if every higher derivable linear mapping φ = {φ(n)}n∈N at G is a higher derivation. In this paper, we show G ∈ algN is a higher all-derivable point if and only if G ≠ 0.
Lei LIU.
Higher All-Derivable Points in Nest Algebras. Acta Mathematica Sinica, Chinese Series, 2015, 58(5): 861-870 https://doi.org/10.12386/A2015sxxb0086
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