The problem of spectral synthesis for operators with point spectrum

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Abstract

This article considers the problem of spectral synthesis for operators with a complete system of root vectors. Criteria for the existence of spectral synthesis are given. A criterion for spectral synthesis in terms of geometrical properties of the system of eigenvectors is established for operators with simple spectrum. The relationship between the problems of spectral synthesis for operators A and A is studied.

Original languageEnglish
Pages (from-to)670-696
Number of pages27
JournalMathematics of the USSR - Izvestija
Volume4
Issue number3
DOIs
StatePublished - 30 Jun 1970

ASJC Scopus subject areas

  • Mathematics (all)

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