Local operators and derivations on $C^ \ast$-algebras
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- by C. J. K. Batty PDF
- Trans. Amer. Math. Soc. 287 (1985), 343-352 Request permission
Abstract:
The variations on a theme of locality for a pair of operators $(H,K)$ on a ${C^\ast }$-algebra $\mathfrak {A}$ are expressed algebraically. If $K$ is a $\ast$-derivation generating an action of $\mathbb {R}$ on $\mathfrak {A}$, and $H$ is $\ast$-linear and $K$-local, then, under certain restrictions, $H$ is shown to be very closely related to $K$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 287 (1985), 343-352
- MSC: Primary 46L55; Secondary 46L40
- DOI: https://doi.org/10.1090/S0002-9947-1985-0766223-3
- MathSciNet review: 766223