A note on generators of semigroups
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- Proc. Amer. Math. Soc. 66 (1977), 305-308 Request permission
Abstract:
The generator T of a norm-continuous semigroup of identity preserving positive linear mappings on a ${C^\ast }$-algebra $\mathfrak {A}$ is characterized as one that satisfies $T({u^\ast }u) \geqslant {u^\ast }T(u) + T({u^\ast })u$ for all unitary elements u in $\mathfrak {A}$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 66 (1977), 305-308
- MSC: Primary 46L05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0454654-1
- MathSciNet review: 0454654