Dubei M. Global linearization of nonlinear maps on topological vector spaces.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U001139

Thesis Registration Form

0412U001139.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

22-12-2011

Specialized Academic Board

К 20.051.09

Kolomyia Educational-Scientific Institute The Vasyl Stefanyk Precarpathian National University

Essay

In the thesis the properties of free Banach spaces, Lipschitz mappings, algebraic structures on the space of Lipschitz maps, algebras of Lipschitz mappings are investigated. There are introduced new classes of nonlinear mappings: multy-Lipschitz, Lipschitz-polynomial and Lipschitz-analytic maps. Linearizations of the classes are constructed. Some relationships between the theory of Lipschitz mappings and the theory of hypercyclic operators as well as the tensor products theory are established.

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Files

aref.doc

dis.pdf

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