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Algebra structure of operator-valued Riesz means. (English) Zbl 1300.47022

Summary: We characterize operator-valued Riesz means via an algebraic law of composition and establish their functional calculus accordingly. With this aim, we give a new integral expression of the Leibniz derivation rule for smooth functions.

MSC:

47A60 Functional calculus for linear operators
47D03 Groups and semigroups of linear operators
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