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 language | English |
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Pages (from-to) | 670-696 |
Number of pages | 27 |
Journal | Mathematics of the USSR - Izvestija |
Volume | 4 |
Issue number | 3 |
DOIs | |
State | Published - 30 Jun 1970 |
ASJC Scopus subject areas
- General Mathematics