Most quasidiagonal operators are not block-diagonal
Copyright policy )Most quasidiagonal operators are not block-diagonal
The set of all block-diagonal operators is a dense first category subset of the class ( Q D ) (QD) of all quasidiagonal operators. On the other hand, the subset of all irreducible quasidiagonal operators with thin spectra, that are similar to block-diagonal ones, includes a G δ {G_\delta } -dense subset of ( Q D ) (QD) .
Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, set of all block-diagonal operators is a dense first category subset of the class (QD) of all quasidiagonal oprators, subset of all irreducible quasidiagonal operators with hi spectra, that are similar to block- diagonal ones, includes a \(G_{\delta }\)-dense subset of (QD)
Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators, set of all block-diagonal operators is a dense first category subset of the class (QD) of all quasidiagonal oprators, subset of all irreducible quasidiagonal operators with hi spectra, that are similar to block- diagonal ones, includes a \(G_{\delta }\)-dense subset of (QD)
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