Advances in Operator Theory

Fixed points of a class of unitary operators

Namita Das and Jitendra Kumar Behera

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Abstract

In this paper, we consider a class of unitary operators defined on the Bergman space of the right half plane and characterize the fixed points of these unitary operators. We also discuss certain intertwining properties of these operators. Applications of these results are also obtained.

Article information

Source
Adv. Oper. Theory, Volume 3, Number 3 (2018), 538-550.

Dates
Received: 13 October 2017
Accepted: 4 February 2018
First available in Project Euclid: 3 March 2018

Permanent link to this document
https://projecteuclid.org/euclid.aot/1520046044

Digital Object Identifier
doi:10.15352/aot.1710-1244

Mathematical Reviews number (MathSciNet)
MR3795099

Zentralblatt MATH identifier
06902451

Subjects
Primary: 47B38: Operators on function spaces (general)
Secondary: 47B32: Operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) [See also 46E22]

Keywords
right half plane Bergman space unitary operator automorphism fixed point

Citation

Das, Namita; Behera, Jitendra Kumar. Fixed points of a class of unitary operators. Adv. Oper. Theory 3 (2018), no. 3, 538--550. doi:10.15352/aot.1710-1244. https://projecteuclid.org/euclid.aot/1520046044


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