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A Bauer-Fike theorem for the joint spectrum of commuting matrices

✍ Scribed by A.J. Pryde


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
593 KB
Volume
173
Category
Article
ISSN
0024-3795

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It is known that, for every (a n ) # l 2 (Z) there exists a function F # C(T) such that |a n | |F (n)| for every n # Z. We prove a noncommutative version: for every matrix A=(a ij ) such that sup i &(a ij ) j & l 2 and sup j &(a ij ) i & l 2 are finite, there exists a matrix (b ij ) defining a bound