The Spectrum of the Sum of Two Orthogonal Projectors in Separable Gilbert Space

Authors

  • Kh. Kh. Boltaev Tashkent State Pedagogical University named after Nizami, Tashkent, Uzbekistan
  • M. S. Ergashova Tashkent State Pedagogical University named after Nizami, Tashkent, Uzbekistan

Keywords:

Gilbert space, separable Gilbert space, orthogonal projectors, linear combination, orthoprojectors, homomorphisms, subspaces, self-adjoint operator, orthogonal spaces

Abstract

This paper considers the spectrum of two orthogonal projectors in separable Gilbert space. In separable Gilbert space, the appearance of the sum of the spectrum of two orthogonal projectors is calculated. It is also shown that the self-adjoint operator A can be expressed as a linear combination of two orthoprojectors.

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Published

2022-10-29

How to Cite

Boltaev, K. K. ., & Ergashova, M. S. . (2022). The Spectrum of the Sum of Two Orthogonal Projectors in Separable Gilbert Space. Procedia of Philosophical and Pedagogical Sciences, 26–29. Retrieved from https://procedia.online/index.php/philosophy/article/view/212

Issue

2022: Proceedings of the World Conference on "Integrated and Life-long Education of Modernity"

Section

Articles

License

Copyright: © 2024 by the authors. This work is licensed under a Creative Commons Attribution- 4.0 International License (CC - BY 4.0).