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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 4, Pages 95–99
DOI: https://doi.org/10.4213/faa3868 (Mi faa3868) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Note on Derivations of Certain non-CSL Algebras

Chaoqun Chena, Fangyan Lub

a Department of Mathematics, Changzhou Institute of Technology
b Soochow University, Department of Mathematics
Full-text PDF (418 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa3868
Abstract: A subspace lattice {(0),M,N,H}{(0),M,N,H} of a Hilbert space HH is called a generalized generic lattice if M∩N=M⊥∩N⊥=(0)M∩N=M⊥∩N⊥=(0) and dim(M⊥∩N)=dim(M∩N⊥)dim(M⊥∩N)=dim(M∩N⊥). In this note, we show that each derivation of a generalized generic lattice algebra into itself is inner.
Keywords: generalized generic lattice, derivation, innerness.
Funding agency Grant number
National Natural Science Foundation of China 11801045
11571247
Received: 14.12.2020
Revised: 05.03.2021
Accepted: 23.04.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 4, Pages 330–333
DOI: https://doi.org/10.1134/S0016266321040080
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: Chaoqun Chen, Fangyan Lu, “Note on Derivations of Certain non-CSL Algebras”, Funktsional. Anal. i Prilozhen., 55:4 (2021), 95–99; Funct. Anal. Appl., 55:4 (2021), 330–333
Citation in format AMSBIB
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\paper Note on Derivations of Certain non-CSL Algebras
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\pages 95--99
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    • This publication is cited in the following 1 articles:
    1. U. S. Shaikhattarova, Y. Zh. Otarov, E. V. Kovalevskiy, A. K. Kuandykova, Zh. Zh. Zharylkassyn, A. V. Alexeyev, M. K. Tilemissov, C. U. Ismailov, “The impact of working conditions on the health of workers in contact with chrysotile-containing dust”, MiE, 2024, no. 3, 27  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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