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Toeplitz algebra on the Fock space

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arxiv 1907.00889 v5 pith:RLE2ZR3D submitted 2019-07-01 math.FA math.OA

classification math.FAmath.OA
keywords algebrafockspacetoeplitzboundedconsistsentirefunctions
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The Fock space consists of all entire functions which are square integrable with respect to Gauss measure. The Toeplitz algebra is the C*-algebra generated by the Toeplitz operator with bounded symbol on the Fock space. In this paper, we study the Toeplitz algebra on the Fock space.

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