Shepelska V. Daugavet property and certain generalizations

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0412U003446

Thesis Registration Form

0412U003446.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

18-05-2012

Specialized Academic Board

К64.051.11

Essay

Concepts of a Banach space with the Daugavet property with respect to a subspace of the dual space and of a poor subspace of a Banach space with the Daugavet property are introduced. Characterizations of poor subspaces of C[0,1] and L1[0,1] are given. Using a special operator equation a plus-minus property of Banach spaces is defined that generalizes the Daugavet property. Basic properties of SCD sets, spaces and operators are investigated.

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