Standard

Generalisation of Michelson Contrast for Operators and Its Properties. / Abed, S. A.; Nikolaeva, I. A.; Novikov, A. A.

In: Lobachevskii Journal of Mathematics, Vol. 45, No. 8, 08.2024, p. 3835-3848.

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

Harvard

Abed, SA, Nikolaeva, IA & Novikov, AA 2024, 'Generalisation of Michelson Contrast for Operators and Its Properties', Lobachevskii Journal of Mathematics, vol. 45, no. 8, pp. 3835-3848. https://doi.org/10.1134/S1995080224603400

APA

Abed, S. A., Nikolaeva, I. A., & Novikov, A. A. (2024). Generalisation of Michelson Contrast for Operators and Its Properties. Lobachevskii Journal of Mathematics, 45(8), 3835-3848. https://doi.org/10.1134/S1995080224603400

Vancouver

Abed SA, Nikolaeva IA, Novikov AA. Generalisation of Michelson Contrast for Operators and Its Properties. Lobachevskii Journal of Mathematics. 2024 Aug;45(8):3835-3848. doi: 10.1134/S1995080224603400

Author

Abed, S. A. ; Nikolaeva, I. A. ; Novikov, A. A. / Generalisation of Michelson Contrast for Operators and Its Properties. In: Lobachevskii Journal of Mathematics. 2024 ; Vol. 45, No. 8. pp. 3835-3848.

BibTeX

@article{9c31871079ca42f897dc531cec115af0,
title = "Generalisation of Michelson Contrast for Operators and Its Properties",
abstract = "Abstract: We consider the generalization of the Michelson contrast for positive operators of countably decomposable -algebras and prove its properties. In addition, we study how the inequalities characterizing traces interplay with the Michelson contrasts of operator variables.",
keywords = "C*-algebra, Jensen–Shannon divergence, Michelson contrast, W*-algebra, invertible operator, positive operator, tracial functional, von Neumann algebra",
author = "Abed, {S. A.} and Nikolaeva, {I. A.} and Novikov, {A. A.}",
note = "The contribution of the second author (Irina Nikolaeva) in this work was supported by the development program of the Volga Region Mathematical Center under agreement no. 075-02-2024-1438 with the Ministry of Science and Higher Education of the Russian Federation. The contribution of the third author (Dr. Andrej Novikov) is supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2022-282 (05.04.2022) with the Ministry of Science and Higher Education of the Russian Federation.",
year = "2024",
month = aug,
doi = "10.1134/S1995080224603400",
language = "English",
volume = "45",
pages = "3835--3848",
journal = "Lobachevskii Journal of Mathematics",
issn = "1995-0802",
publisher = "Maik Nauka Publishing / Springer SBM",
number = "8",

}

RIS

TY - JOUR

T1 - Generalisation of Michelson Contrast for Operators and Its Properties

AU - Abed, S. A.

AU - Nikolaeva, I. A.

AU - Novikov, A. A.

N1 - The contribution of the second author (Irina Nikolaeva) in this work was supported by the development program of the Volga Region Mathematical Center under agreement no. 075-02-2024-1438 with the Ministry of Science and Higher Education of the Russian Federation. The contribution of the third author (Dr. Andrej Novikov) is supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2022-282 (05.04.2022) with the Ministry of Science and Higher Education of the Russian Federation.

PY - 2024/8

Y1 - 2024/8

N2 - Abstract: We consider the generalization of the Michelson contrast for positive operators of countably decomposable -algebras and prove its properties. In addition, we study how the inequalities characterizing traces interplay with the Michelson contrasts of operator variables.

AB - Abstract: We consider the generalization of the Michelson contrast for positive operators of countably decomposable -algebras and prove its properties. In addition, we study how the inequalities characterizing traces interplay with the Michelson contrasts of operator variables.

KW - C-algebra

KW - Jensen–Shannon divergence

KW - Michelson contrast

KW - W-algebra

KW - invertible operator

KW - positive operator

KW - tracial functional

KW - von Neumann algebra

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85209728497&origin=inward&txGid=75bc5aad2a3c1501755d94b32807151c

UR - https://www.mendeley.com/catalogue/2dbcb76b-293b-3afe-aa03-ae90eadc4f54/

U2 - 10.1134/S1995080224603400

DO - 10.1134/S1995080224603400

M3 - Article

VL - 45

SP - 3835

EP - 3848

JO - Lobachevskii Journal of Mathematics

JF - Lobachevskii Journal of Mathematics

SN - 1995-0802

IS - 8

ER -

ID: 61116042