Bounded semigroups of matrices
β Scribed by Marc A. Berger; Yang Wang
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 349 KB
- Volume
- 166
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
## Abstract In this paper we study the properties of a new one parameter family of nonlinear operators which is a generalization of __B__βbounded linear semigroups. This family is constructed by means of a nonlinear operator __A__ and a linear operator __B__. We give also examples of problems which
By TAKAYUKI TAMURA of Davis/Calif. (Eingegangen am 12. 6. 1972) \*) This paper was presented a t the meeting of American Mathematical Society at Berkeley, April 22, 1972.
We prove several characterizations of strong stability of uniformly bounded evolution families Γ°UΓ°t; sΓΓ t5s50 of bounded operators on a Banach space X , i.e. we characterize the property lim t!1 jjUΓ°t; sΓxjj ΒΌ 0 for all s50 and all x 2 X . These results are connected to the asymptotic stability of
Let {T (t)} tβ₯0 be a C 0 -semigroup on a Banach space X with generator A, and let T be the space of all x β X such that the local resolvent Ξ» β R(Ξ», A)x has a bounded holomorphic extension to the right half -plane. For the class of integrable functions Ο on [0, β) whose Fourier transforms are integ