منابع مشابه
Hille-yosida Theory in Convenient Analysis
A Hille-Yosida Theorem is proved on convenient vector spaces, a class, which contains all sequentially complete locally convex spaces. The approach is governed by convenient analysis and the credo that many reasonable questions concerning strongly continuous semigroups can be proved on the subspace of smooth vectors. Examples from literature are reconsidered by these simpler methods and some ap...
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The Hille-Yosida and Lumer-Phillips theorems play an important role in the theory of linear operators and its applications to evolution equations, probability and ergodic theory. (See, for example, [17] and [9].) Different nonlinear generalizations and analogues of these theorems can be found, for instance, in [13] and [2]. We are interested in establishing analogues of these theorems for the c...
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The quasi-static problem of elastoplasticity with isotropic hardening is considered, with particular emphasis on its numerical solution by means of a Newton-like method. The smoothness properties necessary for such method can be ensured by Moreau-Yosida’s theorem. After time discretization, the classical formulation of the elastoplastic problem is transformed to a minimization problem. The conv...
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Cartan subalgebras, automorphisms and the UCT problem Selçuk Barlak This talk deals with the connection between the UCT problem for separable, nuclear C*-algebras and Cartan subalgebras, that is, MASAs that admit faithful conditional expectations and whose normalizers generate the ambient C*-algebras. We present a characterization, in terms of Cartan subalgebras, of the UCT for fixed point alge...
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We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. We clarify the properties of the phase space ensuring equivalence between the equation under investigation and the non...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1969
ISSN: 0022-1236
DOI: 10.1016/0022-1236(69)90030-5