AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Banach spaces of complex-valued functions. Let {Tt: t ⩾ 0} be a strongly continuous semigroup of positive Lp(μ) operators for some 1 ⩽ p < ∞. Denote by Rλ the resolvent of {Tt}. We show that f ϵ Lp(μ) implies λRλf(x) → f(x) a.e. as λ → ∞
Iseki [11] defined a general notion of ergodicity suitable for functions ’ : J! X where J is an arbi...
AbstractIt is shown that the generator of every exponentially equicontinuous, uniformly continuous C...
We consider a Banach space of finite-dimensional-Hilbert-space-valued functions on a sigma-finite me...
AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Bana...
Let $T = {T(u): u ∈ ℝ_d^{+}}$ be a strongly continuous d-dimensional semigroup of linear contraction...
AbstractA positive contraction semigroup {Tt: t ⩾ 0} of type C1 in the L1 space of a σ-finite comple...
Abstract. Let {T (t) : t> 0} be a strongly continuous semigroup of linear contractions in Lp, 1 &...
In this paper, by using the Rode's method, we extend Yosida's theorem to semigroups of linea...
[EN] Let (T(t))t>0 be a strongly continuous C0-semigroup of bounded linear operators on a Banach sp...
summary:Let $\{T(t):t>0\}$ be a strongly continuous semigroup of linear contractions in $L_p$, $10$ ...
For C-0-semigroups of continuous linear operators acting in a Banach space criteria are available wh...
Abstract. A new proof of a result of Lutz Weis is given, that states that the stability of a positiv...
For $C_0$-semigroups of continuous linear operators acting in a Banach space criteria are available...
AbstractLetting (T(t): t ⩾ 0) be a strongly continuous semigroup of contraction operators on L1(X,M,...
It is shown that the generator of every exponentially equicontinuous, uniformly continuous $C_0$--se...
Iseki [11] defined a general notion of ergodicity suitable for functions ’ : J! X where J is an arbi...
AbstractIt is shown that the generator of every exponentially equicontinuous, uniformly continuous C...
We consider a Banach space of finite-dimensional-Hilbert-space-valued functions on a sigma-finite me...
AbstractLet (X, ∑, μ) be a σ-finite measure space and Lp(μ) = Lp(X, ∑, μ), 1 ⩽ p ⩽ ∞, the usual Bana...
Let $T = {T(u): u ∈ ℝ_d^{+}}$ be a strongly continuous d-dimensional semigroup of linear contraction...
AbstractA positive contraction semigroup {Tt: t ⩾ 0} of type C1 in the L1 space of a σ-finite comple...
Abstract. Let {T (t) : t> 0} be a strongly continuous semigroup of linear contractions in Lp, 1 &...
In this paper, by using the Rode's method, we extend Yosida's theorem to semigroups of linea...
[EN] Let (T(t))t>0 be a strongly continuous C0-semigroup of bounded linear operators on a Banach sp...
summary:Let $\{T(t):t>0\}$ be a strongly continuous semigroup of linear contractions in $L_p$, $10$ ...
For C-0-semigroups of continuous linear operators acting in a Banach space criteria are available wh...
Abstract. A new proof of a result of Lutz Weis is given, that states that the stability of a positiv...
For $C_0$-semigroups of continuous linear operators acting in a Banach space criteria are available...
AbstractLetting (T(t): t ⩾ 0) be a strongly continuous semigroup of contraction operators on L1(X,M,...
It is shown that the generator of every exponentially equicontinuous, uniformly continuous $C_0$--se...
Iseki [11] defined a general notion of ergodicity suitable for functions ’ : J! X where J is an arbi...
AbstractIt is shown that the generator of every exponentially equicontinuous, uniformly continuous C...
We consider a Banach space of finite-dimensional-Hilbert-space-valued functions on a sigma-finite me...
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