Generation theorems for Hille-Yosida operators

Author:
Sheng Wang Wang

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3355-3367

MSC (2000):
Primary 47D05; Secondary 47B40

DOI:
https://doi.org/10.1090/S0002-9939-02-06606-6

Published electronically:
May 29, 2002

MathSciNet review:
1913015

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Abstract: This paper introduces the concept of Hille-Yosida operators and studies several generation theorems. We show that if a once-integrated semigroup satisfies for all , then is locally bounded on and exponentially bounded. In addition, some other interesting results are presented.

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Additional Information

**Sheng Wang Wang**

Affiliation:
Department of Mathematics, Nanjing University, Jiangsu 210093, People’s Republic of China

Email:
wang2598@netra.nju.edu.cn

DOI:
https://doi.org/10.1090/S0002-9939-02-06606-6

Received by editor(s):
June 7, 2000

Received by editor(s) in revised form:
June 26, 2001

Published electronically:
May 29, 2002

Communicated by:
David R. Larson

Article copyright:
© Copyright 2002
American Mathematical Society