Surjective isometry in reflexive strongly facially symmetric spaces

Authors

  • Jumabek Seypullaev Karakalpak State University, Nukus, Uzbekistan; V. I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
  • Dilfuza Eshniyazova Nukus State Pedagogical Institute, Nukus, Uzbekistan

DOI:

https://doi.org/10.3842/umzh.v78i7-8.9022

Keywords:

Strongly facially symmetric space, norm exposed face, geometric tripotent, geometric Peirce projections, surjective isometry.

Abstract

UDC 517.982, 517.986

We study the isometry properties of strongly facially symmetric spaces. It is shown that a linear operator in a  reflexive strongly facially symmetric space is a surjective isometry if and only if it maps the set of indecomposable geometric tripotents onto itself and preserves the orthogonality relations within this set.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 7-8, 2026.

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Published

24.07.2026

Issue

Vol. 78 No. 7-8 (2026)

Section

Research articles