SELF-ADJOINT OPERATORS IN KREIN SPACES

Authors

  • Tosheva Nargiza Ahmedovna, Author
  • Qodirov Suhayl Orifjonovich, Author

Keywords:

Key words: Inner product, Hilbert space, Krein space, Fundamental symmetry, J-orthonormal basis, self-adjoint operators.

Abstract

Abstract. In this paper, positive, negative, and neutral elements and subspaces are defined using the inner product. The Krein space is defined, and the spectral properties of  self-adjoint operators in this space are studied. The relationships between self-adjoint operators in Hilbert space and  self-adjoint operators in Krein space are explored.

Author Biographies

  • Tosheva Nargiza Ahmedovna,

    Bukhara State University, Bukhara, Uzbekistan

  • Qodirov Suhayl Orifjonovich,

    Bukhara State University, Bukhara, Uzbekistan

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Published

2025-04-13

Issue

Vol. 42 No. 3 (2025): ЛУЧШИЕ ИНТЕЛЛЕКТУАЛЬНЫЕ ИССЛЕДОВАНИЯ | ЧАСТЬ-42 | ТОМ-3

Section

Articles

How to Cite

SELF-ADJOINT OPERATORS IN KREIN SPACES. (2025). Лучшие интеллектуальные исследования, 42(3), 51-61. https://scientific-jl.com/luch/article/view/8686