In this paper, the existence, uniqueness, and asymptotic behavior of the solution of the density evolution equation for M/M/∞ model was studied by the semigroup theory of linear operators.
It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend...It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend and improve the corresponding results of previous literature.展开更多
In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weigh...In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).展开更多
In this paper we obtain a characterization of C<sub>0</sub>-semigroup on L<sup>P</sup>（Ω）space,1【p【∞,then extend some important results on L<sup>2</sup>（Ω）to L<sup>P&...In this paper we obtain a characterization of C<sub>0</sub>-semigroup on L<sup>P</sup>（Ω）space,1【p【∞,then extend some important results on L<sup>2</sup>（Ω）to L<sup>P</sup>（Ω）space,1【p【∞.We alsoprove the equality S（A）=w<sub>0</sub> for positive C<sub>0</sub>-semigroup on L<sup>P</sup>（Ω）,1≤p≤∞,so the open prob-lem in[3—8]has an affirmative answer.展开更多
文摘In this paper, the existence, uniqueness, and asymptotic behavior of the solution of the density evolution equation for M/M/∞ model was studied by the semigroup theory of linear operators.
基金Project of Sichuan Provincial Science and Technology Department (No.2007J13-006)
文摘It is proved that a system under compact perturbation cannot be uniformly exponentially stable for an isometric C0-semigroup or a C0-group with polynomial growth for negative time in a Banach space. The results extend and improve the corresponding results of previous literature.
文摘In this paper,we study the complex symmetric C_(0)-semigroups of weighted composition operators W_(ψ,φ)on the weighted Hardy spaces H_(γ) of the unit disk D.It is well-known that there are only two classes of weighted composition conjugations A_(u,v) on H_(γ)(D):either C_(1) or C_(2).We completely characterize C_(1)-symmetric(C_(2)-symmetric)C_(0)-semigroups of weighted composition operators W_(ψ,φ) on H_(γ)(D).
文摘In this paper we obtain a characterization of C<sub>0</sub>-semigroup on L<sup>P</sup>（Ω）space,1【p【∞,then extend some important results on L<sup>2</sup>（Ω）to L<sup>P</sup>（Ω）space,1【p【∞.We alsoprove the equality S（A）=w<sub>0</sub> for positive C<sub>0</sub>-semigroup on L<sup>P</sup>（Ω）,1≤p≤∞,so the open prob-lem in[3—8]has an affirmative answer.
