Characterization of \(W\)-maps in terms of invertibility. (English) Zbl 1245.46058
Summary: Let \(F\) be a non-archimedean non-trivially rank 1 valued complete field. For a compact 0-dimensional Hausdorff space \(X\), \(C(X)\) denotes the space of all continuous maps defined on \(X\) with values in \(F\), with the supremum norm. In this paper, we characterize \(W\)-maps (weighted composition maps) in terms of invertibility.
MSC:
| 46S10 | Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis |
| 47A05 | General (adjoints, conjugates, products, inverses, domains, ranges, etc.) |
