SPECTRAL PROPERTIES OF COMPLETELY CONTINUOUS OPERATORS IN SEPARABLE HILBERT SPACE

This article is devoted to study of spectral properties of completely continuous operators in Hilbert space. In particular, sufficient conditions of the orthogonality of eigenvectors of this operators in separable Hilbert space is given. At the proof of this the methods of functional analysis are used.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-02-23
DOI
https://doi.org/10.5281/zenodo.14914581
Primary Topic
Spectral Theory in Mathematical Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

SPECTRAL PROPERTIES OF COMPLETELY CONTINUOUS OPERATORS IN SEPARABLE HILBERT SPACE

Zenodo (CERN European Organization for Nuclear Research)
Spectral Theory in Mathematical Physics
article

SPECTRAL PROPERTIES OF COMPLETELY CONTINUOUS OPERATORS IN SEPARABLE HILBERT SPACE

article en

Abstract

This article is devoted to study of spectral properties of completely continuous operators in Hilbert space. In particular, sufficient conditions of the orthogonality of eigenvectors of this operators in separable Hilbert space is given. At the proof of this the methods of functional analysis are used.

Zenodo (CERN European Organization for Nuclear Research)
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Spectral Theory in Mathematical Physics
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SPECTRAL PROPERTIES OF COMPLETELY CONTINUOUS OPERATORS IN SEPARABLE HILBERT SPACE · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS