On a factorization of operators on finite dimensional Hilbert spaces

DOI10.3906/MAT-1507-4zbMath1424.47004OpenAlexW2533220994MaRDI QIDQ4633224

Geng Tian, Jia-wei Luo, Jue Xian Li

Publication date: 2 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1507-4

zbMATH Keywords

polar decompositionJordan blockstrongly irreducible operator

Mathematics Subject Classification ID

Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Matrices, determinants in number theory (11C20)

Related Items (1)

Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem

Cites Work

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• Small compact perturbation of strongly irreducible operators.
• On a factorization of operators as a product of an essentially unitary operator and a strongly irreducible operator
• Quasitriangular $+$ small compact $=$ strongly irreducible
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space

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