Some aspects of E. Hille's contribution to semi-group theory

@article{Yosida1981SomeAO,
  title={Some aspects of E. Hille's contribution to semi-group theory},
  author={K. Yosida},
  journal={Integral Equations and Operator Theory},
  year={1981},
  volume={4},
  pages={311-329}
}
  • K. Yosida
  • Published 1981
  • Mathematics
  • Integral Equations and Operator Theory

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Familles résolvantes, générateurs, co-générateurs, potentiels
© Annales de l’institut Fourier, 1972, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditionsExpand
Time dependent evolution equations in a locally convex space
Let X be a locally convex linear topological space (see, e.g., G. Kothe [2] and K. Yosida [3]), and denote by L(X, X) the totality of continuous linear operators defined on X into X.
On the equations of evolution in a Banach space
under the condition U8 ,8x = x. Equation (1.1) is the homogeneous equation of evolution. Rather stringent conditions on A (t) are necessary in order for (1.1) to hold in the strictest sense. WeExpand
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