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A Lipschitz estimate for Berezin's operator calculus
Author(s):
L.
A.
Coburn
Journal:
Proc. Amer. Math. Soc.
133
(2005),
127-131.
MSC (2000):
Primary 47B32;
Secondary 32A36
Posted:
August 20, 2004
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Additional information
Abstract:
F. A. Berezin introduced a general ``symbol calculus" for linear operators on reproducing kernel Hilbert spaces. For the particular Hilbert space of Gaussian square-integrable entire functions on complex  -space,  , we obtain Lipschitz estimates for the Berezin symbols of arbitrary bounded operators. Additional properties of the Berezin symbol and extensions to more general reproducing kernel Hilbert spaces are discussed.
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Additional Information:
L.
A.
Coburn
Affiliation:
Department of Mathematics, SUNY at Buffalo, Buffalo, New York 14260
Email:
lcoburn@acsu.buffalo.edu
DOI:
10.1090/S0002-9939-04-07476-3
PII:
S 0002-9939(04)07476-3
Received by editor(s):
July 8, 2003
Received by editor(s) in revised form:
August 15, 2003 and September 5, 2003
Posted:
August 20, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
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