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Approximation with normal operators with finite spectrum, and an elementary proof of a Brown-Douglas-Fillmore theorem.

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Publication:1858145
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DOI10.2140/pjm.2001.199.347zbMath1065.47013OpenAlexW2052996482MaRDI QIDQ1858145

Peter Friis, Mikael Rørdam

Publication date: 12 February 2003

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2001.199.347


zbMATH Keywords

index functionessentially normal operatorapproximating normal operators


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Subnormal operators, hyponormal operators, etc. (47B20) General theory of (C^*)-algebras (46L05) Linear operator approximation theory (47A58)


Related Items (5)

Distance to normal elements in 𝐶*-algebras of real rank zero ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Purely infinite corona algebras and extensions ⋮ A generalization of Voiculescu's theorem for normal operators to semifinite von Neumann algebras ⋮ On the relation between an operator and its self-commutator







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