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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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Vectors of minimal norm
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by Angela Spalsbury
Proc. Amer. Math. Soc. 126 (1998), 2737-2745
DOI: https://doi.org/10.1090/S0002-9939-98-04703-0
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Abstract:

We characterize the minimal vectors (or extremal vectors) for the operator of multiplication by $(z-1)$ on $H^2.$ We then give an application to infinite systems of equations.
References
  • S. Ansari and P. Enflo. Extremal vectors and invariant subspaces. Transactions of the American Mathematical Society. To appear.
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Bibliographic Information
  • Angela Spalsbury
  • Affiliation: Department of Mathematics, University of the Witwatersrand, PO Box 3, Wits 2050, South Africa
  • Address at time of publication: Department of Mathematics and Computer Science, Kent State University, Kent, Ohio 44242
  • Email: angie@mcs.kent.edu
  • Received by editor(s): February 11, 1997
  • Communicated by: Theodore W. Gamelin
  • © Copyright 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 2737-2745
  • MSC (1991): Primary 47A15, 47B38
  • DOI: https://doi.org/10.1090/S0002-9939-98-04703-0
  • MathSciNet review: 1476393