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Mittelergodische Halbgruppen linearer Operatoren

Rainer J. Nagel (1973)

Annales de l'institut Fourier

A semigroup $H$ in $L_{s} (E)$ , $E$ a Banach space, is called mean ergodic, if its closed convex hull in $L_{s} (E)$ has a zero element. Compact groups, compact abelian semigroups or contractive semigroups on Hilbert spaces are mean ergodic.Banach lattices prove to be a natural frame for further mean ergodic theorems: let $H$ be a bounded semigroup of positive operators on a Banach lattice $E$ with order continuous norm. $H$ is mean ergodic if there is a $H$ -subinvariant quasi-interior point of $E_{+}$ and a $H^{'}$ -subinvariant strictly...

Mixed monotone iterative technique for abstract impulsive evolution equations in Banach spaces.

Yang, He (2010)

Journal of Inequalities and Applications [electronic only]

Modal stabilizability and spectral synthesis

D. Rastović (1982)

Matematički Vesnik

Moment sequences and abstract Cauchy problems

Claus Müller (2003)

Commentationes Mathematicae Universitatis Carolinae

We give a new characterization of the solvability of an abstract Cauchy problems in terms of moment sequences, using the resolvent operator at only one point.

Monotone iterative method for abstract impulsive integro-differential equations with nonlocal conditions in Banach spaces

Pengyu Chen, Yongxiang Li (2014)

Applications of Mathematics

In this paper we use a monotone iterative technique in the presence of the lower and upper solutions to discuss the existence of mild solutions for a class of semilinear impulsive integro-differential evolution equations of Volterra type with nonlocal conditions in a Banach space $E$ $\{\begin{matrix} ... \end{matrix}$

Multiplicative perturbations in semigroup theory with the (Z)-condition.

M. Jung (1996) Semigroup forum

Multiplier algebras, Banach bundles, and one-parameter semigroups

Wojciech Chojnacki (1999) Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Multipliers of the Hardy space H¹ and power bounded operators

Gilles Pisier (2001) Colloquium Mathematicae

We study the space of functions φ: ℕ → ℂ such that there is a Hilbert space H, a power bounded operator T in B(H) and vectors ξ, η in H such that φ(n) = ⟨Tⁿξ,η⟩. This implies that the matrix

{(φ (i + j))}_{i, j \geq 0}

is a Schur multiplier of B(ℓ₂) or equivalently is in the space (ℓ₁ ⊗̌ ℓ₁)*. We show that the converse does not hold, which answers a question raised by Peller [Pe]. Our approach makes use of a new class of Fourier multipliers of H¹ which we call “shift-bounded”. We show that there is a φ which is a “completely...

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