Products of roots of the identity-Reference-Cited by-同舟云学术

Products of roots of the identity

Published:2000-08-28 Issue:2 Volume:129 Page:459-465
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hladnik M.,Omladič M.,Radjavi H.

Abstract

It is proved that every invertible bounded linear operator on a complex infinite-dimensional Hilbert space is a product of five n n -th roots of the identity for every n > 2 n > 2 . For invertible normal operators four factors suffice in general.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2001-129-02/S0002-9939-00-05563-5/S0002-9939-00-05563-5.pdf

Reference7 articles.

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3. L. Grunenfelder, T. Košir, M. Omladič, and H. Radjavi, On groups generated by elements of prime order, Geom. Dedicata 75 (1999), 317–332.

4. Products of involutions;Gustafson, W. H.;Linear Algebra Appl.,1976

5. On normal numbers;Pillai, S. S.;Proc. Indian Acad. Sci., Sect. A.,1939

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