Locally closedness of unbounded derivations in $C^*$-algebras
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- by Shôichi Ôta PDF
- Proc. Amer. Math. Soc. 71 (1978), 222-226 Request permission
Abstract:
We study a local property of unbounded derivations in ${C^ \ast }$-algebras, introducing locally closedness for derivations. We show that a derivation is locally closed and the positive portion of the domain is closed under the square root operation if and only if for each hermitian element a in the domain the ${C^ \ast }$-subalgebra generated by a and the identity is contained in the domain.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 71 (1978), 222-226
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0487474-3
- MathSciNet review: 0487474