Certain invariant subspaces for operators with rich eigenvalues.
Cesàro wedge and weak Cesàro wedge -spaces
In this paper we deal with Cesàro wedge and weak Cesàro wedge -spaces, and give several characterizations. Some applications of these spaces to general summability domains are also studied.
Characterization of Matrix Operators on Orlicz Spaces.
Characterizing Fréchet-Schwartz spaces via power bounded operators
We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on them. This complements similar known characterizations of reflexive and of Fréchet-Montel spaces with a basis. Every strongly convergent sequence of continuous linear operators on a Fréchet-Schwartz space does so in a special way. We single out this type of "rapid convergence" for a sequence...
Charakterisierungen zeilenendlicher Matrizen mit abzählbarem Spektrum.
Commutants of the Square of Differentiation on the Half-Line
MSC 2010: Primary: 447B37; Secondary: 47B38, 47A15
Compact diagonal linear operators on Banach spaces with unconditional bases.
Compact Integral Operators on Banach Function Spaces.
Consequences of the existence of a non-compact operator between nuclear Köthe spaces.
Continuity of superposition operators on and
Continuous rearrangements of the Haar system in for 0 < p < ∞
We prove three theorems on linear operators induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for to be continuous for 0 < p < ∞.
Continuous restrictions of linear maps between Banach spaces
Convolution of Nörlund methods in non-archimedean fields
Corrigendum to "On the spectral multiplicity of a direct sum of operators" (Colloq. Math. 104 (2006), 105-112)
Criteria on boundedness of matrix operators in weighted spaces of sequences and their applications.