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Fredholmness and invertibility of Toeplitz operators with matrix almost periodic symbols
Author(s):
Leiba
Rodman;
Ilya
M.
Spitkovsky;
Hugo
J.
Woerdeman
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1365-1370.
MSC (2000):
Primary 47B35, 43A60
Posted:
September 19, 2001
MathSciNet review:
1879958
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Abstract:
We consider Toeplitz operators with symbols that are almost periodic matrix functions of several variables. It is shown that under certain conditions on the group generated by the Fourier support of the symbol, a Toeplitz operator is Fredholm if and only if it is invertible.
References:
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Additional Information:
Leiba
Rodman
Affiliation:
Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
Email:
lxrodm@math.wm.edu
Ilya
M.
Spitkovsky
Affiliation:
Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
Email:
ilya@math.wm.edu
Hugo
J.
Woerdeman
Affiliation:
Department of Mathematics, The College of William and Mary, P.O. Box 8795, Williamsburg, Virginia 23187-8795
Email:
hugo@math.wm.edu
DOI:
10.1090/S0002-9939-01-06276-1
PII:
S 0002-9939(01)06276-1
Keywords:
Almost periodic functions,
Toeplitz operators,
Fredholmness
Received by editor(s):
October 28, 2000
Posted:
September 19, 2001
Additional Notes:
The research of all three authors was partially supported by NSF grant DMS-9988579.
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2001,
American Mathematical Society
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