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)



Subnormal weighted shifts and asymptotic properties of normal operators

Authors: J. J. Bastian and K. J. Harrison
Journal: Proc. Amer. Math. Soc. 42 (1974), 475-479
MSC: Primary 47B20
MathSciNet review: 0380491
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: By Fuglede's theorem, an operator which commutes with a normal operator N must also commute with all spectral projections of N. We show that only in special cases is the theorem true when ``near-commutativity'' replaces ``commutativity". We show too that the restriction of a normal operator to an almost reducing subspace may be far from all normal operators on the subspace.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B20

Retrieve articles in all journals with MSC: 47B20

Additional Information

Keywords: Normal, subnormal operators, spectral projections, normal approximation
Article copyright: © Copyright 1974 American Mathematical Society

American Mathematical Society