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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Some results on extremal vectors and invariant subspaces


Authors: Per Enflo and Terje Hõim
Journal: Proc. Amer. Math. Soc. 131 (2003), 379-387
MSC (2000): Primary 47A15
Published electronically: September 17, 2002
MathSciNet review: 1933328
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Abstract: In 1996 P. Enflo introduced the concept of extremal vectors and their connection to the Invariant Subspace Problem. The study of backward minimal vectors gives a new method of finding invariant subspaces which is more constructive than the previously known methods. In this article we study the properties and behaviour of extremal vectors, give some new formulas related to backward minimal vectors and improve results from papers by Ansari and Enflo (1998) and Enflo (1998).


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Additional Information

Per Enflo
Affiliation: Department of Mathematics, Kent State University, Kent, Ohio 44242
Email: enflo@mcs.kent.edu

Terje Hõim
Affiliation: Department of Mathematics, Kent State University, Kent, Ohio 44242
Email: terje.hoim@trincoll.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-02-06326-8
PII: S 0002-9939(02)06326-8
Keywords: Invariant subspaces, extremal vectors
Received by editor(s): August 15, 2000
Received by editor(s) in revised form: February 7, 2001
Published electronically: September 17, 2002
Additional Notes: The first author was supported by an NSF grant
Communicated by: N. Tomczak-Jaegermann
Article copyright: © Copyright 2002 American Mathematical Society