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Bicommutants of Toeplitz operators

✍ Scribed by I. Louhichi; N. V. Rao

Publisher: Springer
Year: 2008
Tongue: English
Weight: 135 KB
Volume: 91
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s00013-008-2790-x

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In this paper we give a necessary and sufficient condition for T a 1 T a 2 } } } T a n = T a 1 a 2 } } } a n where the T a i 's are Toeplitz operators on the Hardy space of the unit disk. We then show that T a 1 T a 2 T a 3 T a 4 T a 5 T a 6 =0 if and only if one of a i is identically zero. A criter