Analytic Toeplitz operators with automorphic symbol. II
Authors:
M. B. Abrahamse and Joseph A. Ball
Journal:
Proc. Amer. Math. Soc. 59 (1976), 323-328
MSC:
Primary 47B35; Secondary 30A58
DOI:
https://doi.org/10.1090/S0002-9939-1976-0454714-4
MathSciNet review:
0454714
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Abstract | References | Similar Articles | Additional Information
Abstract: For in
, let
be the analytic Toeplitz operator with symbol
and let
be the commutant of
. Two infinite Blaschke products
and
, are exhibited such that
is not equal to
for any inner function
. Also, two questions on reducing subspaces of analytic Toeplitz operators are answered.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1976-0454714-4
Keywords:
Toeplitz operator,
automorphic function,
modulus automorphic function,
universal covering map,
composition operator
Article copyright:
© Copyright 1976
American Mathematical Society