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Dirichlet series and uniform ergodic theorems for linear operators in Banach spaces

100%

Yoshimoto T.

Studia Mathematica

2000

tom 141

nr 1

69-83

We study the convergence properties of Dirichlet series for a bounded linear operator T in a Banach space X. For an increasing sequence $μ = {μ_n}$ of positive numbers and a sequence $f = {f_n}$ of functions analytic in neighborhoods of the spectrum σ(T), the Dirichlet series for ${f_n(T)}$ is defined by D[f,μ;z](T) = ∑_{n=0}^{∞} e^{-μ_nz} f_n(T), z∈ ℂ. Moreover, we introduce a family of summation methods called Dirichlet methods and study the ergodic properties of Dirichlet averages for T in the uniform operator topology.

Inequalities for product operators and vector valued ergodic theorems

38%

Yoshimoto T.

Studia Mathematica

1982

tom 73

nr 2

95-114

Pointwise ergodic theorems and function classes $M^{α}_{p}$

32%

Yoshimoto T.

Studia Mathematica

1982

tom 72

nr 3

253-271

On the random ergodic theorem

23%

Yoshimoto T.

Studia Mathematica

1977

tom 61

nr 3

231-237

Ograniczanie wyników

4 Studia Mathematica

4 Yoshimoto T.

1 2000

2 1982

1 1977

Wyniki wyszukiwania

Dirichlet series and uniform ergodic theorems for linear operators in Banach spaces

Inequalities for product operators and vector valued ergodic theorems

Pointwise ergodic theorems and function classes $M^{α}_{p}$

On the random ergodic theorem