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Codimension 1 linear isometries on function algebras
Author(s):
Jesús
Araujo;
Juan
J.
Font
Journal:
Proc. Amer. Math. Soc.
127
(1999),
2273-2281.
MSC (1991):
Primary 47B38, 46J10;
Secondary 46E25
Posted:
March 23, 1999
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Abstract:
Let  be a function algebra on a locally compact Hausdorff space. A linear isometry  is said to be of codimension  if the range of  has codimension  in  . In this paper, we provide and study a classification of codimension 1 linear isometries on function algebras in general and on Douglas algebras in particular.
References:
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Additional Information:
Jesús
Araujo
Affiliation:
Departamento de Matemáticas, Estadística y Computación, Universidad de Cantabria, Facultad de Ciencias, Avda. de los Castros, s. n., E-39071 Santander, Spain
Email:
araujo@matesco.unican.es
Juan
J.
Font
Affiliation:
Departamento de Matemáticas, Universitat Jaume I, Campus Penyeta Roja, E-12071 Castellón, Spain
Email:
font@mat.uji.es
DOI:
10.1090/S0002-9939-99-04718-8
PII:
S 0002-9939(99)04718-8
Received by editor(s):
November 19, 1996
Received by editor(s) in revised form:
October 22, 1997
Posted:
March 23, 1999
Additional Notes:
Research of the first author was partially supported by the Spanish Dirección General de Investigación Científica y Técnica (DGICYT, PB95-0582).
Research of the second author was partially supported by Fundació Caixa Castelló.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1999,
American Mathematical Society
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