Proceedings of the American Mathematical Society

Author(s): Joseph A. Cima; Alec Matheson; William T. Ross
Journal: Proc. Amer. Math. Soc. 132 (2004), 745-754.
MSC (2000): Primary 46E15, 47A15; Secondary 47A16
Posted: July 16, 2003
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Abstract: This note examines the subspaces of the space of Cauchy transforms of measures on the unit circle that are invariant under the backward shift operator $f \to z^{-1}(f - f(0))$ . We examine this question when the space of Cauchy transforms is endowed with both the norm and weak ${}^*$ topologies.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 46E15, 47A15, 47A16

Joseph A. Cima
Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
Email: cima@math.unc.edu

Alec Matheson
Affiliation: Department of Mathematics, Lamar University, Beaumont, Texas 77710
Email: matheson@math.lamar.edu

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