Products of Several Toeplitz Operators

✍ Scribed by Caixing Gu

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 279 KB
• Volume: 171
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1999.3547

✦ Synopsis

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 criteria for the compactness of T a 1 T a 2 } } } T a n &T a 1 a 2 } } } a n is also given. 2000