LOWER BOUND OF THE ESSENTIAL SPECTRUM OF A FAMILY OF 3X3 OPERATOR MATRICES

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Опубликован: мая 20, 2023
Ключевые слова:
операторная матрица бозонное пространство Фока операторы уничтожения и рождения

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Nargiza Tosheva
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Аннотация

Block operator matrices are matrices the entries of which are linear operators between Banach or Hilbert spaces [1, 2]. Every bounded linear operator can be written as a block operator matrix if the space in which it acts is decomposed in two or more more components

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Как цитировать
Tosheva, N. (2023). LOWER BOUND OF THE ESSENTIAL SPECTRUM OF A FAMILY OF 3X3 OPERATOR MATRICES. Центр Научных Публикаций (buxdu.Uz), 33(33). извлечено от https://journal.buxdu.uz/index.php/journals_buxdu/article/view/9610
Выпуск
Том 33 № 33 (2023): статьи и тезисы (buxdu.uz)
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Статьи buxdu.uz

Библиографические ссылки

C.Tretter. Spectral Theory of Block Operator Matrices and Applications. Imperial College Press, 2008.

A.Jeribi. Spectral Theory of Block Operator Matrices and Applications. Imperial College Press, 2008.

Muminov M., Neidhardt H., Rasulov T. On the spectrum of the lattice spin-boson Hamiltonian for any coupling: 1D case. Journal of Mathematical Physics, 2015, Vol. 56, 053507.

Rasulov T.Kh. Branches of the essential spectrum of the lattice spin-boson model with at most two photons. Theoretical and Mathematical Physics, 2016, Vol. 186, no. 2, pp. 251-267.

S.Albeverio, S.N.Lakaev, T.H.Rasulov. On the spectrum of an Hamiltonian in Fock space. Discrete spectrum asymptotics. J. Stat. Phys., 127:2 (2007), pp. 191–220.

S.Albeverio, S.N.Lakaev, T.H.Rasulov. The Efimov effect for a model operator associated with the Hamiltonian of a non conserved number of particles. Methods Funct. Anal. Topology, 13:1 (2007), pp. 1–16.