Intersections of commutants of analytic Toeplitz operators
Author:
James E. Thomson
Journal:
Proc. Amer. Math. Soc. 52 (1975), 305-310
MSC:
Primary 47B35; Secondary 30A78
DOI:
https://doi.org/10.1090/S0002-9939-1975-0399927-4
MathSciNet review:
0399927
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we study the intersection of commutants of analytic Toeplitz operators. Our main result is that if is a finite Blaschke product and
, then
where
is a finite Blaschke product and
and
are functions of
. The key step is a function-theoretic theorem describing the relationship between a finite Blaschke product and any
function.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1975-0399927-4
Keywords:
Analytic function,
inner function,
,
,
analytic Toeplitz operator,
commutant
Article copyright:
© Copyright 1975
American Mathematical Society