Kominek, Zygfryd Fix-point free affine transformations having invariant lines. (English) Zbl 1289.51022 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 37-42 (2013). Summary: We extend a result of E. Kasparek [Ann. Math. Sil. 24(2010), 35–37 (2011; Zbl 1229.51025)] characterizing continuous affine transformations without fixed points \(f : X \to X\) having invariant straight line to the case when \(X\) is an arbitrary real topological linear space. MSC: 51N20 Euclidean analytic geometry Keywords:affine transformations; invariant lines; function equations PDF BibTeX XML Cite \textit{Z. Kominek}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 41, 37--42 (2013; Zbl 1289.51022) Full Text: Link