Semigroup Forum

, Volume 47, Issue 1, pp 29–35

On generators of integratedC-semigroups andC-cosine functions

  • Yuan-Chuan Li
  • Sen-Yen Shaw
Research Article

DOI: 10.1007/BF02573738

Cite this article as:
Li, YC. & Shaw, SY. Semigroup Forum (1993) 47: 29. doi:10.1007/BF02573738


The following two theorems are proved: (1) the generator of an exponentially equicontinuousn-times integratedC-cosine function also generates an exponentially equicontinuous [(n+1)/2]-times integratedC-semigroup; (2) IfA and −A are generators of exponentially equicontinuousn-times integratedC-semigroups, thenA2 generates an exponentially equicontinuousn-times integratedC-cosine function.

Copyright information

© Springer-Verlag New York Inc 1993

Authors and Affiliations

  • Yuan-Chuan Li
    • 1
  • Sen-Yen Shaw
    • 1
  1. 1.Department of MathematicsNational Central UniversityChung-LiTaiwan, R.O.C.

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