Derivable Maps and Generalized Derivations on Nest and Standard Algebras
For an algebra A, an A-bimodule M, and m ∈ M, define a relation on A by RA(m,0)={(a, b) ∈A×A: amb =0}. We show that generalized derivations on unital standard algebras on Banach spaces can be characterized precisely as derivable maps on these relations. More precisely, if A is a unital standard alge...
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| Format: | Article |
| Language: | English |
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De Gruyter
2016-09-01
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| Series: | Demonstratio Mathematica |
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| Online Access: | http://www.degruyter.com/view/j/dema.2016.49.issue-3/dema-2016-0028/dema-2016-0028.xml?format=INT |