Köthe-Toeplitz Duals of some new Sequence Spaces and Their Matrix Maps
-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.
Mapping properties of maximal operators
Mappings of positive integers and subspaces of m
Matrix transformations and generators of analytic semigroups.
Matrix transformations between the sequence space Bv^p and certain bk spaces
Matrix transformations involving analytic sequence spaces.
Matrix transformations involving analytic sequence spaces (Errata).
Matrix transformations on nuclear Köthe spaces
Measure of noncompactness of linear operators between spaces of sequences that are summable or bounded
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
Measure of noncompactness of operators and matrices on the spaces and .
Multipliers and Wiener-Hopf operators on weighted L p spaces
We study multipliers M (bounded operators commuting with translations) on weighted spaces L ω p (ℝ), and establish the existence of a symbol µM for M, and some spectral results for translations S t and multipliers. We also study operators T on the weighted space L ω p (ℝ+) commuting either with the right translations S t , t ∈ ℝ+, or left translations P +S −t , t ∈ ℝ+, and establish the existence of a symbol µ of T. We characterize completely the spectrum σ(S t ) of the operator S t proving that...