All-derivable points in continuous nest algebras |
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Authors: | Jun Zhu Changping Xiong |
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Institution: | aInstitute of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, PR China |
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Abstract: | Let be an operator algebra on a Hilbert space. We say that an element is an all-derivable point of for the strong operator topology if every strong operator topology continuous derivable linear mapping φ at G (i.e. φ(ST)=φ(S)T+Sφ(T) for any with ST=G) is a derivation. Let be a continuous nest on a complex and separable Hilbert space H. We show in this paper that every orthogonal projection operator P(M) () is an all-derivable point of for the strong operator topology. |
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Keywords: | All-derivable point Nest algebra Derivable linear mapping at G |
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