On Perturbation of ConvolutedC-Regularized Operator Families-Reference-Cited by-同舟云学术

On Perturbation of ConvolutedC-Regularized Operator Families

Published:2013 Issue: Volume:2013 Page:1-8
ISSN:0972-6802
Container-title:Journal of Function Spaces and Applications
language:en
Short-container-title:Journal of Function Spaces and Applications

Author:

Li Fang¹,Liang Jin²^ORCID,Xiao Ti-Jun³,Zhang Jun⁴

Affiliation:

1. School of Mathematics, Yunnan Normal University, Kunming 650092, China

2. Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

3. Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China

4. Department of Mathematics, Central China Normal University, Wuhan 430079, China

Abstract

Of concern are two classes of convolutedC-regularized operator families: convolutedC-cosine operator families and convolutedC-semigroups. We obtain new and general multiplicative and additive perturbation theorems for these convolutedC-regularized operator families. Two examples are given to illustrate our abstract results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2013/579326.pdf

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