A matricial corona theorem

Authors:
Tavan Trent and Xinjun Zhang

Journal:
Proc. Amer. Math. Soc. **134** (2006), 2549-2558

MSC (2000):
Primary 32A65, 46J20

DOI:
https://doi.org/10.1090/S0002-9939-06-08172-X

Published electronically:
April 7, 2006

MathSciNet review:
2213732

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that a usual corona-type theorem on a space of functions automatically extends to a matrix version.

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Additional Information

**Tavan Trent**

Affiliation:
Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350

Email:
ttrent@gp.as.ua.edu

**Xinjun Zhang**

Affiliation:
Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350

Email:
zhang010@bama.ua.edu

DOI:
https://doi.org/10.1090/S0002-9939-06-08172-X

Keywords:
Matrix corona theorem

Received by editor(s):
September 8, 2004

Received by editor(s) in revised form:
January 13, 2005

Published electronically:
April 7, 2006

Additional Notes:
This work was partially supported by NSF Grant DMS-0400307.

Communicated by:
Joseph A. Ball

Article copyright:
© Copyright 2006
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.