On subscalarity of some \(2 \times 2\) class \(A\) operator matrices

DOI10.1016/j.laa.2012.08.037zbMath1272.47050OpenAlexW142930049WikidataQ112882205 ScholiaQ112882205MaRDI QIDQ1931742

Eungil Ko, Yoenha Kim, Sungeun Jung

Publication date: 16 January 2013

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.08.037

zbMATH Keywords

invariant subspacesubscalar operatorclass \(\mathcal A\) operator

Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Special classes of linear operators (47B99)

Related Items (2)

The local spectral properties of extended Hamilton operators ⋮ On subscalarity of some \(2 \times 2\) \(M\)-hyponormal operator matrices

Cites Work

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• Hyponormal operators with thick spectra have invariant subspaces
• Invariant subspaces for subscalar operators
• Aluthge transforms of operators
• Quasi-similarity of tuples with Bishop's property \((\beta{})\)
• Relations between two inequalities \((B^{\frac r2} A^p B^{\frac r2})^{\frac r{p+r}}\geq B^r\) and \(A^p\geq(A^{\frac p2} B^r A^{\frac p2})^{\frac p{p+r}}\) and their applications
• \(w\)-hyponormal operators
• \(k\)th roots of \(p\)-hyponormal operators are subscalar operators of order \(4k\)
• Some nonhypertransitive operators
• On class A operators
• ON OPERATORS WITH AN ABSOLUTE VALUE CONDITION
• Common spectral properties of linear operators a and b such that ABA=A² and BAB=B²

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