Domanov I. The spectral analysis of some Volterra operators and operator algebras related with them

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0404U001356

Thesis Registration Form

0404U001356.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

17-03-2004

Specialized Academic Board

K 11.193.02

Essay

For the following types of operators a) the operator being the product of some real function of the operator of indefinite integration and of another real function; b) the operator being the fraction power of the integration operator in the sobolev space on segment; c) the operator being the direct sum of the operators of type 2); the descriptions of the lattice of invariant subspaces, of the set of cyclic subspaces, and of the commutant and double commutane are obtained. Some counterexamples are constracted.

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Files

aref.doc

disser.pdf

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