Finite rank Bergman-Toeplitz and Bargmann-Toeplitz operators in many dimensions

Abstract

The recent theorem by D. Luecking that finite rank Toeplitz-Bergman operators must be generated by a measure consisting of finitely many point masses is carried over to the many-dimensional case.

9 pages

References in corpus (1)

• Quasi-classical versus non-classical spectral asymptotics for magnetic Schroedinger operators with decreasing electric potentials

Cited by in corpus (3)

• On the spectrum of Bargmann-Toeplitz operators with symbols of a variable sign
• Finite Rank Toeplitz Operators: Some Extensions of D.Luecking's Theorem
• Finite Rank Bargmann-Toeplitz Operators with Non-Compactly Supported Symbols