Redchuk I. Separating functions and their applications in algebra and functional analysis

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U002737

Applicant for

Specialization

  • 01.01.06 - Алгебра і теорія чисел

06-06-2006

Specialized Academic Board

Д 26.206.01

The Institute of Mathematics of NASU

Essay

It is introduced a class of separating functions, which are naturally generalize numeric function of Nazarova - Roiter, which has a number of applications in the theory of matrix problems. Properties of these functions, their applications to the theory of locally scalar representations of graphs and *-algebras, spectral graph theory and for algebras generated by relations are studied.

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