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Boyadzhiev, K.N. (1994) Logarithms and Imaginary Powers of Operators on Hilbert Spaces. Collect. Math., 45, 287-300.

has been cited by the following article:

• TITLE: Alternative Infinitesimal Generator of Invertible Evolution Families

  AUTHORS: Yoritaka Iwata

  KEYWORDS: Invertible Evolution Family, Abstract Cauchy Problem

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.5 No.4, April 12, 2017

  ABSTRACT: A logarithm representation of evolution operators is defined. Generators of invertible evolution families are characterized by the logarithm representation. In this article, using the logarithm representation, a concept of evolution operators without satisfying the semigroup property is introduced. In conclusion the existence of alternative infinitesimal generator is clarified.