On the essential spectrum of a matrix operator on a hilbert space

Alladustov, Shukhrat

Innovations in Science and Technologies · 2025-yil

Annotatsiya

We study essential spectrum of a matrix operator ℍ, that describes three particles interacting in the direct sum of certain subspaces of the Fock space. It is shown that the essential spectrum of this operator lies in the real axis and is described as a union of segments. Moreover, we establish the maximum for number of segments.

Maqola ma’lumotlari
MualliflarAlladustov, Shukhrat
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2025-05-12
Jild2
Son3
Betlar816-822
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Schrödinger operator, Fock space, channel operators, spectrum, eigenvalue

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAAlladustov, Shukhrat (2025). ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE. Innovations in Science and Technologies, 2(3), 816-822. https://innoist.uz/index.php/ist/article/view/788
GOST (OAK)Alladustov, Shukhrat ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE // Innovations in Science and Technologies. – 2025. – T. 2, № 3. – P. 816-822.
MLAAlladustov, Shukhrat. “ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE.” Innovations in Science and Technologies, 2(3), 816-822, 2025. https://innoist.uz/index.php/ist/article/view/788
ChicagoAlladustov, Shukhrat. “ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE.” Innovations in Science and Technologies, 2(3), 816-822 (2025). https://innoist.uz/index.php/ist/article/view/788
HarvardAlladustov, Shukhrat (2025) ‘ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE’, Innovations in Science and Technologies, 2(3), 816-822. https://innoist.uz/index.php/ist/article/view/788
BibTeX
@article{alladustovshukhrat2025,
  title = {ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE},
  author = {Alladustov, Shukhrat},
  journal = {Innovations in Science and Technologies},
  year = {2025},
  volume = {2},
  number = {3},
  pages = {816-822},
  url = {https://innoist.uz/index.php/ist/article/view/788}
}

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