Results 21 to 30 of about 347 (47)

Mean ergodicity vs weak almost periodicity

, 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

A short proof of some recent results related to Ces{\`a}ro function spaces

, 2012
We give a short proof of the recent results that, for every $1\leq p< \infty,$ the Ces{\`a}ro function space $Ces_p(I)$ is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.Comment: 4 ...
Astashkin, Sergey V., Maligranda, Lech
core   +2 more sources

Plus-Minus Property as a Generalization of the Daugavet Property [PDF]

, 2010
2000 Mathematics Subject Classification: Primary 46B20. Secondary 47A99, 46B42.It was shown in [2] that the most natural equalities valid for every rank-one operator T in real Banach spaces lead either to the Daugavet equation ||I+T|| = 1 + ||T|| or to ...
Shepelska, Varvara
core  

Local approach to order continuity in Ces\`aro function spaces

, 2017
The goal of this paper is to present a complete characterisation of points of order continuity in abstract Ces\`aro function spaces $CX$ for $X$ being a symmetric function space. Under some additional assumptions mentioned result takes the form $(CX)_a =
Kiwerski, Tomasz, Tomaszewski, Jakub
core   +1 more source

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

Demonstratio 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, Rivera-Sarmiento María A., Salas-Brown Margot   +2 more
doaj   +1 more source

ON THE INVARIANT FACES ASSOCIATED WITH A CONE-PRESERVING MAP [PDF]

, 1998
For an n×n nonnegative matrix P , an isomorphism is obtained between the lattice of initial subsets (of {1, · · · , n}) for P and the lattice of P -invariant faces of the nonnegative orthant R+.
B. Tam, H. Schneider
semanticscholar   +1 more source

Duality problem for the class of limited completely continuous operators

, 2014
We establish necessary and sufficient conditions under which the class Lcc(E,F) of limited completely continuous operators between two Banach lattices verifies the direct and reciprocal duality property.
Jawad 'Michane, A. E. Kaddouri, K. Bouras, M. Moussa   +3 more
semanticscholar   +1 more source

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

Open 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., Ramos-Salas Carlos J., Salas-Brown Margot   +2 more
doaj   +1 more source

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

Open Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

b-weak compactness of weak Dunford-Pettis operators

, 2013
We characterize Banach lattices on which each weak Dunford-Pettis operators is bweakly compact and we derive some characterizations of KB-spaces. Mathematics subject classification (2010): 46A40, 46B40, 46B42.
B. Aqzzouz, Jawad 'Michane
semanticscholar   +1 more source