ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE

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.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-27
DOI
https://doi.org/10.5281/zenodo.15097702
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE

Zenodo (CERN European Organization for Nuclear Research)
Holomorphic and Operator Theory
article

ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE

article en

Abstract

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.

Zenodo (CERN European Organization for Nuclear Research)
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Holomorphic and Operator Theory
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ON THE ESSENTIAL SPECTRUM OF A MATRIX OPERATOR ON A HILBERT SPACE · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS