Ivakhno Y. Banach spaces' and operators' properties connected to the geometry of slices

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0408U003980

Thesis Registration Form

0408U003980.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

12-09-2008

Specialized Academic Board

К64.051.11

Essay

A new characterization of the Radon-Nikodym property in terms of slices is provided. A geometrical characterization of spaces such that the norm of every projection on a hyperplane is not less than 2 is given; an example of such space failing the Daugavet property is constructed. A variety of geometrical properties of Lipschitz function spaces on compact sets is investigated. The equivallence of the Riemann-Lebesgue and the complete continuity properties is proved.

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Files

aref.pdf

diss.pdf

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