On boundedness of superposition operators in spaces of Triebel-Lizorkin type
On boundedness of weighted Hardy operator in and regularity condition.
On multi-contractions having a regular dilation
Commuting multi-contractions of class and having a regular isometric dilation are studied. We prove that a polydisc contraction of class is the restriction of a backwards multi-shift to an invariant subspace, extending a particular case of a result by R. E. Curto and F.-H. Vasilescu. A new condition on a commuting multi-operator, which is equivalent to the existence of a regular isometric dilation and improves a recent result of A. Olofsson, is obtained as a consequence.
On calculation of the relative index of a fixed point in the nondegenerate case.
On Calderón-Toeplitz Operators.
On Caristi's fixed point theorem in F-type topological spaces.
On certain classes of commutators.
On certain classes of variational inequalities and related iterative algorithms.
On certain quantities in Fredholm operator theory and Mil'man's isometry spectrum
On certain subsets of Bochner integrable function spaces.
One of the most important methods used in literature to introduce new properties in a Banach space E, consists in establishing some non trivial relationships between different classes of subsets of E. For instance, E is reflexive, or has finite dimension, if and only if every bounded subset is weakly relatively compact or norm relatively compact, respectively.On the other hand, Banach spaces of the type C(K) and Lp(μ) play a vital role in the general theory of Banach spaces. Their structure is so...
On certain weighted moving averages and their differentiation analogues.
On chaotic order of indefinite type.
On characterization of the Lipschitzian composition operator between spaces of functions of bounded -variation
On Characterizations of Nuclear Spaces and Quasi-Integral Operators.
On class A operators
We show that every class A operator has a scalar extension. In particular, such operators with rich spectra have nontrivial invariant subspaces. Also we give some spectral properties of the scalar extension of a class A operator. Finally, we show that every class A operator is nonhypertransitive.
On class operators and quasisimilarity.
On coerciveness in Besov spaces for abstract parabolic equations of higher order
We are concerned with a relation between parabolicity and coerciveness in Besov spaces for a higher order linear evolution equation in a Banach space. As proved in a preceding work, a higher order linear evolution equation enjoys coerciveness in Besov spaces under a certain parabolicity condition adopted and studied by several authors. We show that for a higher order linear evolution equation coerciveness in Besov spaces forces the parabolicity of the equation. We thus conclude that parabolicity...
On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications.
On combined nonstandard methods in functional analysis.
On common fixed and periodic points of commuting functions.