A trace formula for Hankel operators
Authors:
Aurelian Gheondea and Raimund J. Ober
Journal:
Proc. Amer. Math. Soc. 127 (1999), 2007-2012
MSC (1991):
Primary 47B35; Secondary 47A56, 93B28
DOI:
https://doi.org/10.1090/S0002-9939-99-04669-9
Published electronically:
February 26, 1999
MathSciNet review:
1476131
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: We show that if is an operator valued analytic function in the open right half plane such that the Hankel operator
with symbol
is of trace-class, then
has continuous extension to the imaginary axis,
exists in the trace-class norm, and .
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Additional Information
Aurelian Gheondea
Affiliation:
Center for Engineering Mathematics EC35, University of Texas at Dallas, Richardson, Texas 75083-0688
Email:
gheondea@imar.ro
Raimund J. Ober
Affiliation:
Center for Engineering Mathematics EC35, University of Texas at Dallas, Richardson, Texas 75083-0688
Email:
ober@utdallas.edu
DOI:
https://doi.org/10.1090/S0002-9939-99-04669-9
Received by editor(s):
May 29, 1997
Received by editor(s) in revised form:
September 10, 1997
Published electronically:
February 26, 1999
Additional Notes:
This research was supported in part by NSF grant DMS-9501223.
Communicated by:
Theodore W. Gamelin
Article copyright:
© Copyright 1999
American Mathematical Society