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On commuting operators solving Gleason's problem
Author(s):
D.
Alpay;
C.
Dubi
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3285-3293.
MSC (2000):
Primary 47B32
Posted:
May 2, 2005
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Abstract:
We prove the uniqueness of commuting operators solving Gleason's problem for certain spaces of functions analytic in the unit ball.
References:
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- 1.
- D. Alpay.
The Schur algorithm, reproducing kernel spaces and system theory.
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Translated from the 1998 French original by Stephen S. Wilson, Panoramas et Synthèses. [Panoramas and Syntheses].MR 1839648 (2002b:47144) - 2.
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Backward shift operator and finite dimensional de Branges Rovnyak spaces in the ball.
Linear Algebra Appl., 371:277-285, 2003. MR 1997376 (2004e:46035) - 3.
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Some finite-dimensional backward-shift-invariant subspaces in the ball and a related interpolation problem.
Integral Equation Operator Theory, 42:1-21, 2002.MR 1866874 (2002i:47007) - 4.
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Minimal solutions of the Gleason problem.
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Published for the Conference Board of the Mathematical Sciences, Washington, DC, 1989.MR 1004239 (90g:47003) - 8.
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Additional Information:
D.
Alpay
Affiliation:
Department of Mathematics, Ben--Gurion University of the Negev, Beer-Sheva 84105, Israel
Email:
dany@math.bgu.ac.il
C.
Dubi
Affiliation:
Department of Mathematics, Ben--Gurion University of the Negev, Beer-Sheva 84105, Israel
Address at time of publication:
Department of Mathematics, Weizmann Institute, POB 26, Rehovot 76100, Israel
Email:
dubi@math.bgu.ac.il, dubic@weizmann.ac.il
DOI:
10.1090/S0002-9939-05-07839-1
PII:
S 0002-9939(05)07839-1
Received by editor(s):
February 3, 2004
Received by editor(s) in revised form:
June 12, 2004
Posted:
May 2, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
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