On Perturbation of Convoluted C-Regularized Operator Families

Of concern are two classes of convoluted C-regularized operator families: convoluted C-cosine operator families and convoluted C-semigroups. We obtain new and general multiplicative and additive perturbation theorems for these convoluted C-regularized operator families. Two examples are given to ill...

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Main Authors: Fang Li, Jin Liang, Ti-Jun Xiao, Jun Zhang
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/579326
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author Fang Li
Jin Liang
Ti-Jun Xiao
Jun Zhang
author_facet Fang Li
Jin Liang
Ti-Jun Xiao
Jun Zhang
author_sort Fang Li
collection DOAJ
description Of concern are two classes of convoluted C-regularized operator families: convoluted C-cosine operator families and convoluted C-semigroups. We obtain new and general multiplicative and additive perturbation theorems for these convoluted C-regularized operator families. Two examples are given to illustrate our abstract results.
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institution Kabale University
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publishDate 2013-01-01
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series Journal of Function Spaces and Applications
spelling doaj-art-aef68a9a30cf4b65a988cdcb2357ecbb2025-08-20T03:39:04ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/579326579326On Perturbation of Convoluted C-Regularized Operator FamiliesFang Li0Jin Liang1Ti-Jun Xiao2Jun Zhang3School of Mathematics, Yunnan Normal University, Kunming 650092, ChinaDepartment of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, ChinaShanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, ChinaDepartment of Mathematics, Central China Normal University, Wuhan 430079, ChinaOf concern are two classes of convoluted C-regularized operator families: convoluted C-cosine operator families and convoluted C-semigroups. We obtain new and general multiplicative and additive perturbation theorems for these convoluted C-regularized operator families. Two examples are given to illustrate our abstract results.http://dx.doi.org/10.1155/2013/579326
spellingShingle Fang Li
Jin Liang
Ti-Jun Xiao
Jun Zhang
On Perturbation of Convoluted C-Regularized Operator Families
Journal of Function Spaces and Applications
title On Perturbation of Convoluted C-Regularized Operator Families
title_full On Perturbation of Convoluted C-Regularized Operator Families
title_fullStr On Perturbation of Convoluted C-Regularized Operator Families
title_full_unstemmed On Perturbation of Convoluted C-Regularized Operator Families
title_short On Perturbation of Convoluted C-Regularized Operator Families
title_sort on perturbation of convoluted c regularized operator families
url http://dx.doi.org/10.1155/2013/579326
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