arXiv subjects

Ondřej F. K. Kalenda

Publications and source records attributed to Ondřej F. K. Kalenda.

38 records · Page 3Linked to original sources

arXiv2010

Compactness in Banach space theory - selected problems

We list a number of problems in several topics related to compactness in nonseparable Banach spaces. Namely, about the Hilbertian ball in its weak topology, spaces of continuous functions on Eberlein compacta, WCG Banach spaces, Valdivia compacta and Radon-Nikodým compacta.

math.FA↗

arXiv2006

Baire-one mappings contained in a usco map

We investigate Baire-one functions whose graph is contained in a graph of usco mapping. We prove in particular that such a function defined on a metric space with values in $\mathbb{R}^d$ is the pointwise limit of a sequence of continuous functions with graphs contained in the graph of a common usco map.

math.GN↗