Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols

Details Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols

2012-03-22

arxiv.org/abs/1203.4927v2

Mathematics

Functional Analysis

Scientific paper

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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