-Непрерывные селекторы неподвижных точек многозначных отображений с разложимыми значениями. III. Приложения
Les shifts à poids dissymétriques sont hyper-réflexifs
Nous prouvons l’hyper-réflexivité du shift bilatéral sur , lorsque le poids vérifie for et .
Linear operators
Linear operators on for dispersed
Local entropy moduli and eigenvalues of operators in Banach spaces.
In the paper local entropy moduli of operators between Banach spaces are introduced. They constitue a generalization of entropy numbers and moduli, and localize these notions in an appropriate way. Many results regarding entropy numbers and moduli can be carried over to local entropy moduli. We investigate relations between local entropy moduli and s-numbers, spectral properties, eigenvalues, absolutely summing operators. As applications, local entropy moduli of identical and diagonal operators...
Local spectral theory of shifts with operator-valued weights. (Sur la théorie spectrale locale des shifts à poids opérateurs.)
Lower bounds for matrices on block weighted sequence spaces. I
In this paper we consider some matrix operators on block weighted sequence spaces . The problem is to find the lower bound of some matrix operators such as Hausdorff and Hilbert matrices on . This study is an extension of papers by G. Bennett, G.J.O. Jameson and R. Lashkaripour.
Lower bounds for some factorable matrices.
Lower bounds for summability matrices on weighted sequence spaces.