This note tries to give an answer to the following question: Is there a sufficiently rich class of metric vector spaces such that sufficiently large spaces of continuous linear maps between them are metrizable? © 2009 Elsevier B.V. All rights reserved.
Müller, O. (2010). Metrizability of spaces of homomorphisms between metric vector spaces. Journal of Geometry and Physics, 60(3), 460–470. https://doi.org/10.1016/j.geomphys.2009.11.003