Most Quasidiagonal Operators are not Block-Diagonal

DOI10.2307/2046804zbMath0693.47016OpenAlexW4231259978MaRDI QIDQ3468188

Domingo A. Herrero

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046804

zbMATH Keywords

set of all block-diagonal operators is a dense first category subset of the class (QD) of all quasidiagonal opratorssubset of all irreducible quasidiagonal operators with hi spectra, that are similar to block- diagonal ones, includes a \(G_{\delta }\)-dense subset of (QD)

Mathematics Subject Classification ID

Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (1)

The Jordan form of a bitriangular operator

Cites Work

• A note on quasidiagonal and quasitriangular operators
• Irreducible operators
• Most Normal Operators are Diagonal
• The Diagonal Entries in the Formula `Quasitriangular - Compact = Triangular', and Restrictions of Quasitriangularity
• Shorter Notes: Invariant Subspaces for Products of Hermitian Operators
• Ten problems in Hilbert space
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