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Szegő and Widom Theorems for the Neil Algebra

  • Sriram BalasubramanianEmail author
  • Scott McCullough
  • Udeni Wijesooriya
Chapter
Part of the Operator Theory: Advances and Applications book series (OT, volume 272)

Abstract

Versions of well-known function theoretic operator theory results of Szegő and Widom are established for the Neil algebra. The Neil algebra is the subalgebra of the algebra of bounded analytic functions on the unit disc consisting of those functions whose derivative vanishes at the origin.

Keywords

Toeplitz operators Szegő’s Theorem constrained algebra Neil algebra distinguished variety 

Mathematics Subject Classification (2010)

47B335 30H10 (Primary) 30H05 46E20 (secondary) 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Sriram Balasubramanian
    • 1
    Email author
  • Scott McCullough
    • 2
  • Udeni Wijesooriya
    • 2
  1. 1.Department of MathematicsIIT MadrasChennaiIndia
  2. 2.Department of MathematicsUniversity of FloridaGainesvilleUSA

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