The backward shift on the space of Cauchy transforms
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- by Joseph A. Cima, Alec Matheson and William T. Ross PDF
- Proc. Amer. Math. Soc. 132 (2004), 745-754 Request permission
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.References
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Additional Information
- Joseph A. Cima
- Affiliation: Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina 27599
- MR Author ID: 49485
- Email: cima@math.unc.edu
- Alec Matheson
- Affiliation: Department of Mathematics, Lamar University, Beaumont, Texas 77710
- Email: matheson@math.lamar.edu
- William T. Ross
- Affiliation: Department of Mathematics and Computer Science, University of Richmond, Richmond, Virginia 23173
- MR Author ID: 318145
- Email: wross@richmond.edu
- Received by editor(s): October 10, 2002
- Received by editor(s) in revised form: October 21, 2002
- Published electronically: July 16, 2003
- Communicated by: Joseph A. Ball
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 745-754
- MSC (2000): Primary 46E15, 47A15; Secondary 47A16
- DOI: https://doi.org/10.1090/S0002-9939-03-07103-X
- MathSciNet review: 2019951