Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Most quasidiagonal operators are not block-diagonal


Author: Domingo A. Herrero
Journal: Proc. Amer. Math. Soc. 104 (1988), 845-851
MSC: Primary 47A65; Secondary 47A66
DOI: https://doi.org/10.1090/S0002-9939-1988-0964866-3
MathSciNet review: 964866
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The set of all block-diagonal operators is a dense first category subset of the class $ (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_\delta }$-dense subset of $ (QD)$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47A65, 47A66

Retrieve articles in all journals with MSC: 47A65, 47A66


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0964866-3
Keywords: Quasidiagonal operators, block-diagonal operators, first category subset, $ {G_\delta }$-dense subset
Article copyright: © Copyright 1988 American Mathematical Society