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Selfcommutators of automorphic composition operators
Titel:
Selfcommutators of automorphic composition operators
Auteur:
Bourdon, Paul S. MacCluer, Barbara D.
Verschenen in:
Complex variables and elliptic equations
Paginering:
Jaargang 52 (2007) nr. 1 pagina's 85-104
Jaar:
2007-01-01
Inhoud:
For each automorphic composition operator Cϕ acting on either the Hardy or Bergman Hilbert space of the unit ball in [image omitted], we show that [image omitted] is a Toeplitz operator, that [image omitted] is the inverse of a Toeplitz operator, and that the selfcommutator [image omitted] is essentially a Toeplitz operator. We then extract spectral and norm information from these identifications, focusing on selfcommutators. For example, in the setting of the Hardy space of the unit disk, we obtain complete descriptions of the spectrum, essential spectrum, and point spectrum for selfcommutators of automorphic composition operators, which reveal that the spectrum and essential spectrum coincide.
Uitgever:
Taylor & Francis
Bronbestand:
Elektronische Wetenschappelijke Tijdschriften
Details van artikel 221 van 269 gevonden artikelen
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