Results 21 to 27 of about 252 (27)

Mean ergodicity vs weak almost periodicity

open access: yes, 2018
We provide explicit examples of positive and power-bounded operators on $c_0$ and $\ell^\infty$ which are mean ergodic but not weakly almost periodic. As a consequence we prove that a countably order complete Banach lattice on which every positive and ...
Gerlach, Moritz, Glück, Jochen
core   +1 more source

On the metric compactification of infinite-dimensional $\ell_{p}$ spaces

open access: yes, 2018
The notion of metric compactification was introduced by Gromov and later rediscovered by Rieffel; and has been mainly studied on proper geodesic metric spaces.
Gutiérrez, Armando W.
core   +1 more source

On the Distribution of Random variables corresponding to Musielak-Orlicz norms

open access: yes, 2013
Given a normalized Orlicz function $M$ we provide an easy formula for a distribution such that, if $X$ is a random variable distributed accordingly and $X_1,...,X_n$ are independent copies of $X$, then the expected value of the p-norm of the vector ...
Alonso-Gutierrez, David   +3 more
core   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

open access: yesOpen Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C.   +2 more
doaj   +1 more source

The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

open access: yesDemonstratio Mathematica
We calculate the essential norm of bounded diagonal infinite matrices acting on Köthe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Köthe sequence spaces.
Fernández Julio C. Ramos   +2 more
doaj   +1 more source

A description of Banach space-valued Orlicz hearts

open access: yesOpen Mathematics, 2010
Labuschagne Coenraad, Offwood Theresa
doaj   +1 more source

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