On the Distribution of Eigenvalues of Nuclear Operators

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On the Distribution of Eigenvalues of Nuclear Operators. / Reinov, O.

In: Functional Analysis and its Applications, Vol. 58, No. 3, 01.09.2024, p. 344-346.

Research output: Contribution to journal › Article › peer-review

Author

Reinov, O. / On the Distribution of Eigenvalues of Nuclear Operators. In: Functional Analysis and its Applications. 2024 ; Vol. 58, No. 3. pp. 344-346.

BibTeX

@article{7f51408821f94de4962ff30f8a2a2d1c,

title = "On the Distribution of Eigenvalues of Nuclear Operators",

abstract = "Abstract: It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a new class of operators: the class of generalized Laprest{\'e} nuclear operators. {\textcopyright} Pleiades Publishing, Ltd. 2024.",

keywords = "-nuclear operator, determinant, eigenvalue, trace",

author = "O. Reinov",

note = "Export Date: 27 October 2024",

year = "2024",

month = sep,

day = "1",

doi = "10.1134/s0016266324030109",

language = "Английский",

volume = "58",

pages = "344--346",

journal = "Functional Analysis and its Applications",

issn = "0016-2663",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - On the Distribution of Eigenvalues of Nuclear Operators

AU - Reinov, O.

N1 - Export Date: 27 October 2024

PY - 2024/9/1

Y1 - 2024/9/1

N2 - Abstract: It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a new class of operators: the class of generalized Lapresté nuclear operators. © Pleiades Publishing, Ltd. 2024.

AB - Abstract: It is shown how certain recent results in the theory of determinants and traces can be applied to obtain new theorems on the distribution of eigenvalues of nuclear operators on Banach spaces and to prove the equality of the spectral and nuclear traces of such operators. As an example, we consider a new class of operators: the class of generalized Lapresté nuclear operators. © Pleiades Publishing, Ltd. 2024.

KW - -nuclear operator

KW - determinant

KW - eigenvalue

KW - trace

UR - https://www.mendeley.com/catalogue/ecf8571d-e628-3e41-a3b6-30be081fa030/

U2 - 10.1134/s0016266324030109

DO - 10.1134/s0016266324030109

M3 - статья

VL - 58

SP - 344

EP - 346

JO - Functional Analysis and its Applications

JF - Functional Analysis and its Applications

SN - 0016-2663

IS - 3

ER -

ID: 126461786