Spectrum and essential spectrum of linear combinations of composition operators on the Hardy space H2

Authors

  • M. Farzi Haromi Ph.D. Student, Department of Mathematics, Shiraz University of Technology, Shiraz, Iran.
  • M. Fatehi Professor, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.
  • M. Haji Shaabani Professor, Department of Mathematics, Shiraz University of Technology, Shiraz, Iran.
Abstract:

Let -----. For an analytic self-map ---  of --- , Let --- be the composition operator with composite map ---  so that ----. Let ---  be a bounded analytic function on --- . The weighted composition operator ---  is defined by --- . Suppose that ---  is the Hardy space, consisting of all analytic functions defined on --- , whose Maclaurin cofficients are square summable. .....

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Journal title

volume 5  issue 18

pages  5- 14

publication date 2019-05-01

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