Feshchenko I. Systems of subspaces of Hilbert and Banach spaces, their properties and applications

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0419U003804

Thesis Registration Form

0419U003804.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

24-09-2019

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

The thesis is devoted to the study of structure of systems of subspaces of a Hilbert space that satisfy certain conditions on the sets of angles between each pair of subspaces, problems on the closedness of the sum of operator ranges in a Hilbert space and on the complementability of the sum of complemented subspaces of a Banach space, and a problem on reduction of a system of subspaces of a Hilbert space to a linearly independent system of subspaces with the same sum of the subspaces.

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Files

autoreferat--aref.pdf

diss.pdf

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