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Jiang, Z.J. and Sun, S.L. (2005) Functional Analysis. 2nd Edition, Higher Education Press, Beijing. (In Chinese)

has been cited by the following article:

• TITLE: Is –A-1 an Infinitesimal Generator?

  AUTHORS: Ru Liu

  KEYWORDS: α-Times Resolvent Family, Analytic α-Times Resolvent Family, Fractional Power of Generator

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.10, October 10, 2018

  ABSTRACT: There are some researchers considering the problem whether A-1 is the generator of a bounded C0-semigroup if A generates a bounded C0-semigroup. Actually, it is a very basic and important problem. In this paper, we discuss whether -A-1 is the generator of a bounded α-times resolvent family if -A generates a bounded α-times resolvent family.