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Semigroup Forum

, Volume 56, Issue 2, pp 197–204 | Cite as

On Similarity to Contraction Semigroups in Hilbert Space

  • Quôc-Phóng Vu
  • Fuyuan Yao
  • 39 Downloads

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-semigroup in Hilbert space, then T(t) is similar to a contraction semigroup. Analogously, if T is a power-bounded quasi-compact operator, then T is similar to a contraction. This latter fact is a simultaneous generalization of well known results of Sz.-Nagy and Rota. Some characterizations of bounded quasi-compact semigroups and power-bounded quasi-compact operators are also given.

Keywords

Hilbert Space Contraction Semigroup Simultaneous Generalization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York Inc. 1998

Authors and Affiliations

  • Quôc-Phóng Vu
  • Fuyuan Yao

There are no affiliations available

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