Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

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

 
 

 

Vectors of minimal norm


Author: Angela Spalsbury
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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • S. Ansari and P. Enflo. Extremal vectors and invariant subspaces. Transactions of the American Mathematical Society. To appear.

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 47A15, 47B38

Retrieve articles in all journals with MSC (1991): 47A15, 47B38


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

Keywords: Invariant subspaces, extremal vectors
Received by editor(s): February 11, 1997
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1998 American Mathematical Society