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A matricial corona theorem

Author(s): Tavan Trent; Xinjun Zhang
Journal: Proc. Amer. Math. Soc. 134 (2006), 2549-2558.
MSC (2000): Primary 32A65, 46J20
Posted: April 7, 2006
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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: 10.1090/S0002-9939-06-08172-X
PII: S 0002-9939(06)08172-X
Keywords: Matrix corona theorem
Received by editor(s): September 8, 2004
Received by editor(s) in revised form: January 13, 2005
Posted: April 7, 2006
Additional Notes: This work was partially supported by NSF Grant DMS-0400307.
Communicated by: Joseph A. Ball
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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