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Sums and Products of Weighted Shifts

Published online by Cambridge University Press:  20 November 2018

Laurent W. Marcoux
Laurent W. Marcoux*
Affiliation:
Department of Mathematical Sciences University of Alberta Edmonton, Alberta T6G 2G1, email: L.Marcoux@ualberta.ca
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Abstract

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In this article it is shown that every bounded linear operator on a complex, infinite dimensional, separable Hilbert space is a sum of at most eighteen unilateral (alternatively, bilateral) weighted shifts. As well, we classify products of weighted shifts, as well as sums and limits of the resulting operators.

Keywords

47B3747A99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 4 , 01 December 2001 , pp. 469 - 481
Copyright
Copyright © Canadian Mathematical Society 2001

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