Abstract
Theorems about characterization of finite rank Toeplitz operators in Fock–Segal–Bargmann spaces, known previously only for symbols with compact support, are carried over to symbols without that restriction, however with a rather rapid decay at infinity. The proof is based upon a new version of the Stone–Weierstrass approximation theorem.
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Communicated by A. Laptev.
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Rozenblum, G. Finite rank Bargmann–Toeplitz operators with non-compactly supported symbols. Bull. Math. Sci. 2, 331–341 (2012). https://doi.org/10.1007/s13373-012-0023-x
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DOI: https://doi.org/10.1007/s13373-012-0023-x