In order to find metric spaces X for which the algebra Lip∗(X) of bounded Lipschitz functions
on X determines the Lipschitz structure of X, we introduce the class of small-determined …

The convex cone SC SLip 1 (X) of real-valued smooth semi-Lipschitz functions on a Finsler
manifold X is an order-algebraic structure that captures both the differentiable and the quasi …

For each quasi-metric space X we consider the convex lattice SLip 1 (X) of all semi-Lipschitz
functions on X with semi-Lipschitz constant not greater than 1. If X and Y are two complete …

This paper deals with lattices of continuous functions and their homomorphisms, with
emphasis on isomorphisms. As usual, we write C (X) for the lattice of all real-valued …

Our study is focused on the dynamics of weighted composition operators defined on a
locally convex space E ↪ (C (X), τ _p) E↪(C (X), τ p) with X being a topological Hausdorff …

Analogues of the classical Banach-Stone theorem for spaces of continuous functions are
studied in the context of the spaces of absolutely continuous functions introduced by Ashton …

There have been many parallel streams of research studying order isomorphisms of some
specific sets $\mathcal {G} $ of functions from a set $\mathcal {X} $ to $\mathbb …

Reconstruction of topological graphs and their Hilbert bimodules Page 1 Proceedings of the
Royal Society of Edinburgh, page 1 of 26 DOI:10.1017/prm.2023.99 Reconstruction of …

For certain families of compact subsets of the plane, the isomorphism class of the algebra of
absolutely continuous functions on a set is completely determined by the homeomorphism …

Let X, Y be two compact Hausdorff perfectly normal spaces (in particular, compact
metrizable spaces), C (X) be the real Banach space of all continuous functions on X, and …