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• W1538763105 abstract "Let $A$ be the operator which assigns to each $m times n$ matrix-valued function on the unit circle with entries in $H^infty + C$ its unique superoptimal approximant in the space of bounded analytic $m times n$ matrix-valued functions in the open unit disc. We study the continuity of $A$ with respect to various norms. Our main result is that, for a class of norms satifying certain natural axioms, $A$ is continuous at any function whose superoptimal singular values are non-zero and is such that certain associated integer indices are equal to 1. We also obtain necessary conditions for continuity of $A$ at point and a sufficient condition for the continuity of superoptimal singular values." @default.
• W1538763105 created "2016-06-24" @default.
• W1538763105 creator A5037799186 @default.
• W1538763105 creator A5077734007 @default.
• W1538763105 date "1995-11-28" @default.
• W1538763105 modified "2023-09-27" @default.
• W1538763105 title "Continuity properties of best analytic approximation" @default.
• W1538763105 hasPublicationYear "1995" @default.
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