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The invertibility of the product of unbounded Toeplitz operators
Authors:David Cruz-Uribe
Institution:(1) Department of Mathematics, Purdue University, 47907-1395 West Lafayette, IN
Abstract:In this note I give necessary and sufficient conditions on outer functionsf andg for the operator 
$$T_f T_{\bar g} $$
to be bounded and invertible on H2. I also discuss the relationship of this question to two open questions in operator theory and weighted norm inequalities.
Keywords:Primary 47B35  Secondary 42A50
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