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_0-semigroup on L^P(Ω)space, 1<p<∞,then extend some important results on L^2(Ω)to L^P(Ω)space,1<p<∞.We also prove the equality S(A)=w_0 for positive C_0-...In this paper we obtain a characterization of C_0-semigroup on L^P(Ω)space, 1<p<∞,then extend some important results on L^2(Ω)to L^P(Ω)space,1<p<∞.We also prove the equality S(A)=w_0 for positive C_0-semigroup on L^P(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_0-semigroup on L^P(Ω)space, 1<p<∞,then extend some important results on L^2(Ω)to L^P(Ω)space,1<p<∞.We also prove the equality S(A)=w_0 for positive C_0-semigroup on L^P(Ω),1≤p≤∞,so the open prob- lem in[3—8]has an affirmative answer.
