On lower eigenvalue bounds for Toeplitz operators with radial symbols in Bergman spaces
Artikel i vetenskaplig tidskrift, 2011

We consider Toeplitz operators in different Bergman type spaces, having radial symbols with variable sign. We show that if the symbol has compact support or decays rapidly, the eigenvalues of such operators cannot decay too fast, essentially faster than for a sign-definite symbol with the same kind. On the other hand, if the symbol decays not sufficiently rapidly, the eigenvalues of the corresponding operator may decay faster than for the operator corresponding to the absolute value of the symbol.

Toeplitz operators

Spectrum

Författare

Grigori Rozenblioum

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Journal of Spectral Theory

1664-039X (ISSN) 1664-0403 (eISSN)

Vol. 1 299-325

Fundament

Grundläggande vetenskaper

Ämneskategorier

Matematisk analys