Derivable mappings at unit operator on nest algebras
By Jun Zhu, Changping Xiong. 2007
58 citations recorded by the source corpus.
Abstract Let A be an operator subalgebra with the unit operator I in B(H). We say that a linear mapping φ from A into itself is a derivable mapping at I if φ ( ST ) = φ ( S ) T + S φ ( T ) for any S , T ∈ A with ST = I. In this paper, we show the following main result: every strongly operator topology continuous derivable mapping at I on a nest algebra alg N is an inner derivation.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/2304d003d64a26dac09dd50a8ddf30666a1b0d98
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In Algebra and Number Theory
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Characterizations of derivations and Jordan derivations on Banach algebras (2009, background): “Papers [12,13,14] studied linear maps which satisfy the derivation equation when AB is a fixed invertible element.”