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 ultrabarrelledness and barrelledness involving the singularities of families of convex mappings.
Characterizations of -stratifiable spaces
Characterizing dominates on a family of triangular norms.
Characterizing Optimality in Nonconvex Optimizationi
Charakterisierungen von nirgends differenzierbaren Weierstraß-Funktionen durch Replikativität.
Chebyshev inequalities and self-dual cones.
Choosing roots of polynomials with symmetries smoothly.
Classes of Weighted Symmetric Functions
Classical PLS-spaces: spaces of distributions, real analytic functions and their relatives
This paper is an extended version of an invited talk presented during the Orlicz Centenary Conference (Poznań, 2003). It contains a brief survey of applications to classical problems of analysis of the theory of the so-called PLS-spaces (in particular, spaces of distributions and real analytic functions). Sequential representations of the spaces and the theory of the functor Proj¹ are applied to questions like solvability of linear partial differential equations, existence of a solution depending...
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...
Closed universal subspaces of spaces of infinitely differentiable functions
We exhibit the first examples of Fréchet spaces which contain a closed infinite dimensional subspace of universal series, but no restricted universal series. We consider classical Fréchet spaces of infinitely differentiable functions which do not admit a continuous norm. Furthermore, this leads us to establish some more general results for sequences of operators acting on Fréchet spaces with or without a continuous norm. Additionally, we give a characterization of the existence of a closed subspace...
Cluster directions of euclidean sets
Cluster sets of arbitrary functions defined on plane sets
Coefficient inequalities for certain classes of analytic and univalent functions.