Spectral sets of periodic matrices related to the strong moment problem | Zendy

Ionela Moale | Zendy; Peter Yuditskii | Zendy

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Spectral sets of periodic matrices related to the strong moment problem

Author(s) -

Ionela Moale,

Peter Yuditskii

Publication year - 2014

Publication title -

journal of spectral theory

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.063

H-Index - 19

eISSN - 1664-0403

pISSN - 1664-039X

DOI - 10.4171/jst/60

Subject(s) - diagonal , moment (physics) , class (philosophy) , mathematics , parametric statistics , pure mathematics , moment problem , spectral properties , mathematical analysis , combinatorics , physics , geometry , computer science , classical mechanics , statistics , artificial intelligence , astrophysics , principle of maximum entropy

The main result of this work is a parametric description of the spectral sets of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices. Both are hidden in the simplest possible class of regular 5-diagonal matrices, this fact we also show here. Mathematics Subject Classification (2010). 30E05, 30F15, 47B39, 46E22.

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