Author

J. Ka̧kol

2 papers indexed here

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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

Preprint Aug 2026

Continuous Linear Surjections from $C_p(X)$ onto Symmetric Sequence Ideals in $c_0$

Rosenthal's classical theorem says that, for every infinite compact space $X$, the Banach space $C(X)$ admits a quotient isomorphic to either $c_0$ or $\ell_2$. The corresponding question for $C_p(X)$, the space $C(X)$ endowed with the topology of pointwise convergence, is much subtler and still open; the only compact...

J. Ka̧kol, W. Śliwa · 1 citation