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Author

A. Leiderman

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Preprint Sep 2026

On densely defined linear continuous operators between function spaces

For any Tychonoff space $X$, let $D(X)$ denote either the space $C(X)$ of all continuous real-valued functions on $X$ or the space $C^*(X)$ of all bounded continuous real-valued functions on $X$. We write $D_p(X)$ when $D(X)$ is endowed with the topology of pointwise convergence. In our recently published paper [8, The...

A. Leiderman, V. Valov · 0 citations
Review Sep 2026

A survey on the Asplund property for spaces $C(X)$ of continuous functions

The Asplund property plays an important role in Banach space theory due to its connections with differentiability properties of continuous convex functions, optimization problems, and the weak topology of Banach spaces. Motivated by the variety of nonequivalent definitions proposed in the literature for locally convex...

M. Fabian, J. Ka̧kol, A. Leiderman · 0 citations

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