Session 36. Topology in Functional Analysis

Weight-preserving isomorphisms defined between spaces of continuous functions

Salvador Hernández, Universitat Jaume I, Spain
The talk is based on the joint work with Margarita Gary and María V. Ferrer
Let \(\mathcal A\) and \(\mathcal B\) be a vector spaces, on a finite field \(\mathbb F\), of \(\mathbb F\)-valued continuous functions defined on compact spaces. We discuss on the representation of linear bijections \(H:\mathcal A\longrightarrow \mathcal B\) as a weighted composition operator. Some connections to coding theory will be also highlighted.
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