SELF-ADJOINT OPERATORS IN KREIN SPACES

##article.authors##

  • Tosheva Nargiza Ahmedovna, ##default.groups.name.author##
  • Qodirov Suhayl Orifjonovich, ##default.groups.name.author##

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

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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.

##submission.authorBiographies##

  • Tosheva Nargiza Ahmedovna,

    Bukhara State University, Bukhara, Uzbekistan

  • Qodirov Suhayl Orifjonovich,

    Bukhara State University, Bukhara, Uzbekistan

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2025-04-13

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##issue.vol## 42 ##issue.no## 3 (2025): ЛУЧШИЕ ИНТЕЛЛЕКТУАЛЬНЫЕ ИССЛЕДОВАНИЯ | ЧАСТЬ-42 | ТОМ-3

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Articles

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