$C^*$-algebras generated by truncated Toeplitz operators

Details $C^*$-algebras generated by truncated Toeplitz operators $C^*$-algebras generated by truncated Toeplitz operators

2012-03-12

arxiv.org/abs/1203.2412v2

Mathematics

Operator Algebras

12 pages

Scientific paper

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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