Abstract
In this note we introduce a new 2-dimensional parameter, we also discuss a related characterization of Hilbert spaces.
Similar content being viewed by others
References
Ji D., Li J., Wu S.: On the uniqueness of isosceles orthogonality in normed linear spaces. Results. Math. 59, 157–162 (2011)
Alonso J., Martini H., Wu S.: On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. Aequat. Math. 83, 153–189 (2012)
Ferrera J., Muñoz G.: A characterization of real Hilbert spaces using the Bochnak complexification norm. Arch. Math. 80, 384–392 (2003)
Amir D.: Characterizations of inner product spaces. Birkhäuser, Basel (1986)
James R.C.: Orthogonality and linear functionals in normed linear spaces. Trans. Am. Math. Soc. 61, 265–292 (1947)
Chelidze G.Z.: On Nordlander’s conjecture in the three-dimensional case. Ark. Mat. 47(2), 267–272 (2009)
Alonso, J.: Ortogonalidad en espacios normados. Ph.D. Thesis, Univ de Extremadura (1984)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Baronti, M., Franchetti, C. The isosceles orthogonality and a new 2-dimensional parameter in real normed spaces. Aequat. Math. 89, 673–683 (2015). https://doi.org/10.1007/s00010-014-0255-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00010-014-0255-9