Operators with connected spectrum + compact operators = strongly irreducible operators

DOI10.1007/BF02880384zbMath0966.47007MaRDI QIDQ1974186

Chun Lan Jiang, You Qing Ji

Publication date: 8 August 2001

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

structure propertiesstrongly irreducibleoperators in Hilbert spasesum of a strongly irreducible operator and a compact operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Structure theory of linear operators (47A65)

Cites Work

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• Limits of strongly irreducible operators, and the Riesz decomposition theorem
• Extensions of \(C^*\)-algebras and \(K\)-homology
• Essentially normal \(+\) small compact \(=\) strongly irreducible
• Irreducible operators
• The Diagonal Entries in the Formula `Quasitriangular - Compact = Triangular', and Restrictions of Quasitriangularity
• Essentially Normal Operator + Compact Operator = Strongly Irreducible Operator