Mozhyrovska Z. Spectral properties and hypercyclicity of composition operators on spaces of analytic functions on Banach space.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U005386

Thesis Registration Form

0408U005386.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

27-11-2008

Specialized Academic Board

Д 35.051.18

Ivan Franko National University of Lviv

Essay

In the thesis we consider some properties of composition operators like the density of domain, the closeness of graph and the continuity. The thesis is devoted to description of the spectral properties of the composition operators on a Hilbert space of analytic functions which are defined on Hilbert space. Some versions of spectral theorems for such operators are proved. We investigate under which conditions the operators of composition are hypercyclic in the space of analytic functions.

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Files

Dis.pdf

aref.pdf

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