A discussion on the natural domain of Radial Toeplitz operators in Segal-Bargmann space

Ramírez, Romina Andrea; Rossini, Gerardo Luis; Sanmartino, Marcela

Articulo

Registration in:

http://sedici.unlp.edu.ar/handle/10915/95977

https://ri.conicet.gov.ar/11336/76540

https://ijpam.eu/contents/2012-76-1/8/index.html

issn:1311-8080

https://repositorioslatinoamericanos.uchile.cl/handle/2250/7437793

Author

Ramírez, Romina Andrea

Rossini, Gerardo Luis

Sanmartino, Marcela

Institutions

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 l^2(C) of square summable complex sequences.

Facultad de Ciencias Exactas

Instituto de Física La Plata

Subjects

Matemáticas

Toeplitz operators

Radial symbols

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