Algebra Structure of Operator-Valued Riesz Means-Reference-Cited by-同舟云学术

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Algebra Structure of Operator-Valued Riesz Means

Published:2014-05-18 Issue: Volume:2014 Page:1-7
ISSN:2314-5064
Container-title:Journal of Operators
language:en
Short-container-title:Journal of Operators

Author:

Miana Pedro J.¹

Affiliation:

1. Departamento de Matemáticas and I.U.M.A., Universidad de Zaragoza, 50009 Zaragoza, Spain

Abstract

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.

Funder

DGI-FEDER

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/923616.pdf

Reference12 articles.

1. Unbounded well-bounded operators, strongly continuous semigroups and the Laplace transform

2. Extensions of Well-Boundedness and Cm-Scalarity

3. Functional Calculus for Infinitesimal Generators of Holomorphic Semigroups

4. Duke University Mathematics Series I,1976

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