In our paper [Proc. Amer. Math. Soc. Ser. B 8 (2021), pp. 86–99] we showed that a Tychonoff
space $ X $ is a $\Delta $-space (in the sense of RW Knight [Trans. Amer. Math. Soc. 339 …

We study the existence of continuous (linear) operators from the Banach spaces\({{\,\textrm
{Lip}\,}} _0 (M)\) of Lipschitz functions on infinite metric spaces M vanishing at a …

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We characterize Ascoli spaces by showing that a Tychonoff space X is Ascoli iff the
canonical map from the free locally convex space L (X) over X into C k (C k (X)) is an …

A topological space $ Y $ has the property (B) of Banakh if there is a countable family
$\{A_n: n\in\mathbb {N}\} $ of closed nowhere dense subsets of $ Y $ absorbing all compact …

A Tychonoff space X is called (sequentially) Ascoli if every compact subset (resp. convergent
sequence) of C k (X) is evenly continuous, where C k (X) denotes the space of all real …

A Tychonoff space X is called (sequentially) Ascoli if every compact subset (resp. convergent
sequence) of C_k (X) C k (X) is equicontinuous, where C_k (X) C k (X) denotes the space of …

Abstract Following Banakh and Gabriyelyan (Monatshefte Math 180: 39–64, 2016), a
Tychonoff space X is Ascoli if every compact subset of C_k (X) C k (X) is equicontinuous. By …

A fundamental result proved by Bourgain, Fremlin and Talagrand states that the space B 1
(M) of Baire one functions over a Polish space M is an angelic space. Stegall extended this …

On reflexivity and the Ascoli property for free locally convex spaces - ScienceDirect Skip to main
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