Zavodovsky M. Spectral theorems for by linearly dependent operators with given spectrum

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0405U003962

Thesis Registration Form

0405U003962.pdf

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

04-10-2005

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

We describe the algebras associated with Dynkin graphs and extended Dynkin graphs. Finded necessary and sufficiently conditions on spectral characteristics of self-adjoint operators when we can they presented at polinom from two projectors. We describe the sets of parameters when exist the representations of algebras associated with Dynkin graphs and extended Dynkin graphs. We prove spectral theorems of correspond algebras.

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Files

aref.pdf

dis.pdf

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