SELF-ADJOINT OPERATORS IN KREIN SPACES

Авторы

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

Ключевые слова:

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

Аннотация

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.

Биографии авторов

  • Tosheva Nargiza Ahmedovna,

    Bukhara State University, Bukhara, Uzbekistan

  • Qodirov Suhayl Orifjonovich,

    Bukhara State University, Bukhara, Uzbekistan

Загрузки

Опубликован

2025-04-13

Выпуск

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

Раздел

Articles

Как цитировать

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