Weak Kato-inequalities and positive semigroups
type: Item
instance of: scholarly article
title: Weak Kato-inequalities and positive semigroups
zbMATH Open document ID: 0609.47050
DOI: 10.1007/BF01215132
published in: Mathematische Zeitschrift
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173627
review text: It is well-known that the positivity of \(C_ 0\) semigroups of linear operators is equivalent with the positivity of the resolvent of their generators. On a Banach lattice, this paper offers a characterization of the positivity in terms of i) the generator of adjoint semigroup, or ii) the adjoint of the generator. Through the same ''Kato-inequality'', some results regarding comparison of two-semigroups are also given.
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 46B42
Mathematics Subject Classification ID: 47B60
zbMATH DE Number: 3985994
zbMATH Keywords: positivity of \(C_ 0\) semigroups of linear operators
zbMATH Keywords: resolvent
zbMATH Keywords: Banach lattice
zbMATH Keywords: Kato-inequality
zbMATH Keywords: comparison of two-semigroups
author: Anton R. Schep
MaRDI profile type: Publication
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OpenAlex ID: W2021393593
description: scientific article; zbMATH DE number 3985994