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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Some results on extremal vectors and invariant subspaces
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by Per Enflo and Terje Hõim
Proc. Amer. Math. Soc. 131 (2003), 379-387
DOI: https://doi.org/10.1090/S0002-9939-02-06326-8
Published electronically: September 17, 2002

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).
References
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Bibliographic 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
  • MR Author ID: 653599
  • Email: terje.hoim@trincoll.edu
  • 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
  • © Copyright 2002 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 131 (2003), 379-387
  • MSC (2000): Primary 47A15
  • DOI: https://doi.org/10.1090/S0002-9939-02-06326-8
  • MathSciNet review: 1933328