IJPAM: Volume 76, No. 1 (2012)
A DISCUSSION ON THE NATURAL DOMAIN OF
RADIAL TOEPLITZ OPERATORS IN
SEGAL-BARGMANN SPACE
RADIAL TOEPLITZ OPERATORS IN
SEGAL-BARGMANN SPACE
Romina A. Ramırez
, Gerardo L. Rossini
, Marcela Sanmartino
Departamento de Matemática
Facultad de Ciencias Exactas
Universidad Nacional de La Plata
ARGENTINA
IFLP-CONICET and Departamento de Fısica
Facultad de Ciencias Exactas
Universidad Nacional de La Plata
ARGENTINA




Facultad de Ciencias Exactas
Universidad Nacional de La Plata
ARGENTINA

Facultad de Ciencias Exactas
Universidad Nacional de La Plata
ARGENTINA
Abstract. We discuss the domain of Toeplitz operators with radial symbols in the Segal-Bargmann space: we point out and correct missleading staments in previous works, establishing the conditions under which a given Toeplitz operator is unitarily equivalent to a diagonal operator in the space
of square summable complex sequences.
Received: November 11, 2011
AMS Subject Classification: 47B35, 81Q99
Key Words and Phrases: Toeplitz operators, radial symbols
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 1