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Theorems of Katznelson-Tzafriri type for contractions

✍ Scribed by J. Esterle; E. Strouse; F. Zouakia

Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
692 KB
Volume
94
Category
Article
ISSN
0022-1236

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✍ FranΓ§oise Lust-Piquard πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 430 KB

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