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The reduction square root and perturbation for a class of strongly continuous operator families

Research paper by Chuang Chen, Xiao Qiu Song, Hui Min Li

Indexed on: 01 Feb '10Published on: 01 Feb '10Published in: Acta Mathematica Sinica, English Series



Abstract

We introduce the concept of α times C-second resolvent families and present the relationship between α times C-resolvent families and α times C-second resolvent families. Moreover, the perturbation and square root for α times C-resolvent families are considered in this paper which generalize the counterparts of C-Cosine operator functions.