The Finite Rank Theorem for Toeplitz Operators on the Fock Space
Journal article, 2015

We consider Toeplitz operators on the Fock space, under rather general conditions imposed on the symbols. We prove that if a Toeplitz operator has finite rank, then the operator and its symbol are zero. Our argument is somewhat different from the ones used previously for finite rank theorem, and it enables us to get rid of the compact support condition and even allows for a certain growth of the symbol.

Finite rank theorem

Toeplitz operators

Fock space

Author

A.A. Borichev

Aix Marseille Université

Grigori Rozenblioum

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Journal of Geometric Analysis

1050-6926 (ISSN)

Vol. 25 1 347-356

Roots

Basic sciences

Subject Categories

Mathematical Analysis

DOI

10.1007/s12220-013-9432-7

More information

Latest update

4/4/2018 6