A Hille--Yosida type theorem in ordered convex cones
type: Item
instance of: scholarly article
title: A Hille--Yosida type theorem in ordered convex cones
zbMATH Open document ID: 1117.47034
author: Eugen Popa
published in: Positivity
publication date: 2006-11-03T00:00:00Z
review text: For a given semigroup \((\Phi_t)_{t>0}\), its Laplace transform \(V_\alpha:=\int \exp(-\alpha t) \Phi_t\,dt\) defines a resolvent \((V_\alpha)_{\alpha >0}\). Under some regularity assumptions, the author proves the converse for the resolvent defined on ordered convex cones.
reviewed by: Mohamed Hmissi
Mathematics Subject Classification ID: 47D07
Mathematics Subject Classification ID: 60J35
Mathematics Subject Classification ID: 31D05
Mathematics Subject Classification ID: 46A40
zbMATH DE Number: 5070786
zbMATH Keywords: resolvent
zbMATH Keywords: semigroup
zbMATH Keywords: kernel
zbMATH Keywords: ordered convex cone
MaRDI profile type: Publication
full work available at URL: s11117-005-0014-1
OpenAlex ID: W2036798999
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DOI: 10.1007/S11117-005-0014-1
description: scientific article; zbMATH DE number 5070786