Characterization of globally Lipschitzian composition operators in the Banach space
We give a characterization of the globally Lipschitzian composition operators acting in the space
Characterization of -limit sets of continuous maps of the circle
In this paper we extend results of Blokh, Bruckner, Humke and Sm’ıtal [Trans. Amer. Math. Soc. 348 (1996), 1357–1372] about characterization of -limit sets from the class of continuous maps of the interval to the class of continuous maps of the circle. Among others we give geometric characterization of -limit sets and then we prove that the family of -limit sets is closed with respect to the Hausdorff metric.
Characterization properties for starlike and convex functions involving a class of fractional integral operators
Characterization properties for starlikeness and convexity of some subclasses of analytic functions involving a class of fractional derivative operators.
Characterizations of Connected Real Functions.
Characterizations of convex vector functions and optimization.
Characterizations of Kurzweil-Henstock-Pettis integrable functions
We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.
Characterizations of real functions by continua
Characterizations of sum form information measures on open domains.
Characterizations of the functions with bounded variation.
Characterizations of -stratifiable spaces
Charakterisierungen von nirgends differenzierbaren Weierstraß-Funktionen durch Replikativität.
Classes of Weighted Symmetric Functions
Classifications and characterizations of Baire-1 functions
Kechris and Louveau in [5] classified the bounded Baire-1 functions, which are defined on a compact metric space , to the subclasses , . In [8], for every ordinal we define a new type of convergence for sequences of real-valued functions (-uniformly pointwise) which is between uniform and pointwise convergence. In this paper using this type of convergence we obtain a classification of pointwise convergent sequences of continuous real-valued functions defined on a compact metric space , and...
Cluster directions of euclidean sets
Cluster sets of arbitrary functions defined on plane sets
Commuting functions and simultaneous Abel equations
The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.
Compact operators and integral equations in the space
The space of Henstock-Kurzweil integrable functions on is the uncountable union of Fréchet spaces . In this paper, on each Fréchet space , an -norm is defined for a continuous linear operator. Hence, many important results in functional analysis, like the Banach-Steinhaus theorem, the open mapping theorem and the closed graph theorem, hold for the space. It is known that every control-convergent sequence in the space always belongs to a space for some . We illustrate how to apply results...
Compactifications, Hartman functions and (weak) almost periodicity [Book]
Compacts de fonctions de première classe