Operator-valued Extension of the Theorem of Helson and Szegö

Bruzual, Ramón; Domínguez, Marisela

doi:10.1007/978-3-0348-7881-4_7

Ramón Bruzual⁵ &
Marisela Domínguez⁵

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 149))

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Abstract

We consider the Hilbert transform for Hilbert space-valued trigonometric polynomials on the unit circle and we obtain operator-valued versions of theorems of Helson-Szegö and of Helson-Sarason.

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Authors and Affiliations

Escuela de Matemática Fac, Ciencias Universidad Central de Venezuela, Venezuela
Ramón Bruzual & Marisela Domínguez

Authors

Ramón Bruzual
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Marisela Domínguez
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Correspondence to Ramón Bruzual or Marisela Domínguez .

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Editors and Affiliations

Department of Mathematics, Virginia Tech, Blacksburg, VA, 24061, USA
Joseph A. Ball & Martin Klaus &
Department of Mathematics, University of California, La Jolla, CA, 92093, USA
J. William Helton
Department of Mathematics, College of William and Mary, Williamsburg, VA, 23187-8795, USA
Leiba Rodman

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Bruzual, R., Domínguez, M. (2004). Operator-valued Extension of the Theorem of Helson and Szegö. In: Ball, J.A., Helton, J.W., Klaus, M., Rodman, L. (eds) Current Trends in Operator Theory and its Applications. Operator Theory: Advances and Applications, vol 149. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7881-4_7

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DOI: https://doi.org/10.1007/978-3-0348-7881-4_7
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9608-5
Online ISBN: 978-3-0348-7881-4
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