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arxiv: 1203.2412 · v3 · pith:RSGRXAPRnew · submitted 2012-03-12 · 🧮 math.OA · math.CV· math.FA

C^*-algebras generated by truncated Toeplitz operators

classification 🧮 math.OA math.CVmath.FA
keywords operatorstoeplitztruncatedalgebraalgebrasanaloguebyproductcoburn
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We obtain an analogue of Coburn's description of the Toeplitz algebra in the setting of truncated Toeplitz operators. As a byproduct, we provide several examples of complex symmetric operators which are not unitarily equivalent to truncated Toeplitz operators having continuous symbols.

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