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Weighted Mazur-Ulam spaces

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Abstract

The notion of a Mazur-Ulam space, introduced by C. P. Niculescu in [6] by using the midpoints, is extended here for an arbitrary weight λ ∈ (0, 1). A similar characterization in terms of a class of isometries and their unique fixed point is obtained for the rational case λ = m/n and under more complicated conditions than that of in [6] or [7, p. 166].

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Authors and Affiliations

  1. Al.I.Cuza University, Iaşi, România

    P. S. Botezat & M. Crasmareanu

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  1. P. S. Botezat
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  2. M. Crasmareanu
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Correspondence to P. S. Botezat.

Additional information

Original Russian Text © P. S. Botezat, M. Crasmareanu, 2016, published in Izvestiya Natsional’noi Akademii Nauk Armenii, Matematika, 2016, No. 3, pp. 3-8.

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Botezat, P.S., Crasmareanu, M. Weighted Mazur-Ulam spaces. J. Contemp. Mathemat. Anal. 51, 121–124 (2016). https://doi.org/10.3103/S106836231603002X

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  • DOI: https://doi.org/10.3103/S106836231603002X

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