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Vectors of minimal norm

Author(s): Angela Spalsbury
Journal: Proc. Amer. Math. Soc. 126 (1998), 2737-2745.
MSC (1991): Primary 47A15, 47B38
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Abstract: We characterize the minimal vectors (or extremal vectors) for the operator of multiplication by on We then give an application to infinite systems of equations.

References:

1.: S. Ansari and P. Enflo. Extremal vectors and invariant subspaces. Transactions of the American Mathematical Society. To appear. CMP 96:17

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Additional 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

DOI: 10.1090/S0002-9939-98-04703-0
PII: S 0002-9939(98)04703-0
Keywords: Invariant subspaces, extremal vectors
Received by editor(s): February 11, 1997
Communicated by: Theodore W. Gamelin
Copyright of article: Copyright 1998, American Mathematical Society


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