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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...

Modular measures and Maharam operators.

Kusraev, A.G. (2000)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

Multiplicative operators on symmetric commutative algebras

Anzelm Iwanik (1977)

Colloquium Mathematicae

Multiplicative representation of bilinear operators.

Kusraev, A.G., Tabuev, S.N. (2008)

Sibirskij Matematicheskij Zhurnal

M-weak and L-weak compactness of b-weakly compact operators

J. H'Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)

Commentationes Mathematicae Universitatis Carolinae

We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).

Narrow operators (a survey)

Mikhail Popov (2011)

Banach Center Publications

Narrow operators are those operators defined on function spaces which are "small" at signs, i.e., at {-1,0,1}-valued functions. We summarize here some results and problems on them. One of the most interesting things is that if E has an unconditional basis then each operator on E is a sum of two narrow operators, while the sum of two narrow operators on L₁ is narrow. Recently this notion was generalized to vector lattices. This generalization explained the phenomena of sums: the set of all regular...