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

Subject Areas : Statistics

M.  Haji Shaabani ¹ (Professor, Department of Mathematics, Shiraz University of Technology, Shiraz, Iran.)
M.  Fatehi ² (Professor, Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.)
M.  Farzi Haromi ³ (Ph.D. Student, Department of Mathematics, Shiraz University of Technology, Shiraz, Iran.)

Received: 2018-02-21 Accepted : 2019-01-27 Published : 2019-05-01

Keywords: فضای هاردی, عملگر ترکیبی, طیف, طیف اساسی,

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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