On completely irreducible operators

DOI10.1007/s11464-006-0028-4zbMath1223.47004OpenAlexW2073126316MaRDI QIDQ719931

Zejian Jiang, Shan Li Sun

Publication date: 12 October 2011

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-006-0028-4

zbMATH Keywords

approximationquasisimilaritycomplete irreducibility

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Linear operator approximation theory (47A58) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Structure theory of linear operators (47A65) Schools of mathematics (01A72) History of operator theory (47-03)

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Cites Work

• The Jordan form of a bitriangular operator
• Limits of strongly irreducible operators, and the Riesz decomposition theorem
• Irreducible operators
• Quasi-similarity of operators
• Spectral decomposition of weighted shift operators
• Operators Quasisimilar to a Normal Operator
• Normal operators similar to irreducible operators
• Operators Commuting with a Weighted Shift
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