Add to ORKGsummary:We characterize sets of non-differentiability points of convex functions on $\Bbb R^n$. This completes (in $\Bbb R^n$) the result by Zajíček [2] which gives a characterization of the magnitude of these sets
In this paper, in particular, we prove the following result: Let $E$ be a reflexive real Banach spac...
summary:A subset of $\mathbb R^{d}$ is called a universal differentiability set if it contains a poi...
summary:The authors deal with a certain specialization of their theory of duality on the case where ...
summary:We characterize sets of non-differentiability points of convex functions on $\Bbb R^n$. This...
summary:In [2] a delta convex function on $\Bbb R^2$ is constructed which is strictly differentiable...
summary:We observe that each set from the system $\widetilde{\mathcal A}$ (or even $\widetilde{\math...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
Closed sets $K⊂R^n$ satisfying an external sphere condition with uniform radius (called $ϕ$-convexit...
A problem asked by the authors in 1989 concerns the natural question, whether one can deduce that a ...
summary:We show that on every nonseparable Banach space which has a fundamental system (e.g\. on eve...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
AbstractIn this paper, an extended real-valued proper lower semicontinuous convex functionfon a Bana...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
The aim of this paper is to investigate to what extent the known theory of subdifferentiability and ...
summary:Zaj'\i ček has recently shown that for a lower semi-continuous real-valued function on an As...
In this paper, in particular, we prove the following result: Let $E$ be a reflexive real Banach spac...
summary:A subset of $\mathbb R^{d}$ is called a universal differentiability set if it contains a poi...
summary:The authors deal with a certain specialization of their theory of duality on the case where ...
summary:We characterize sets of non-differentiability points of convex functions on $\Bbb R^n$. This...
summary:In [2] a delta convex function on $\Bbb R^2$ is constructed which is strictly differentiable...
summary:We observe that each set from the system $\widetilde{\mathcal A}$ (or even $\widetilde{\math...
summary:Equivalent conditions for the separability of the range of the subdifferential of a given co...
Closed sets $K⊂R^n$ satisfying an external sphere condition with uniform radius (called $ϕ$-convexit...
A problem asked by the authors in 1989 concerns the natural question, whether one can deduce that a ...
summary:We show that on every nonseparable Banach space which has a fundamental system (e.g\. on eve...
AbstractLetfbe a continuous convex function on a Banach spaceE. This paper shows that every proper c...
AbstractIn this paper, an extended real-valued proper lower semicontinuous convex functionfon a Bana...
AbstractUsing the extension of convex functions on a Banach space X to the bidual space X**, we intr...
The aim of this paper is to investigate to what extent the known theory of subdifferentiability and ...
summary:Zaj'\i ček has recently shown that for a lower semi-continuous real-valued function on an As...
In this paper, in particular, we prove the following result: Let $E$ be a reflexive real Banach spac...
summary:A subset of $\mathbb R^{d}$ is called a universal differentiability set if it contains a poi...
summary:The authors deal with a certain specialization of their theory of duality on the case where ...