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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. Akad. Nauk SSSR Ser. Mat., 1969 Volume 33, Issue 1, Pages 52–64 (Mi im2027)

This article is cited in 7 papers

Nonunitary operators with absolutely continuous spectrum

L. A. Sakhnovich


Abstract: Sufficient conditions are found for the linear similarity of a nonunitary operator $T$ to a unitary operator with absolutely continuous spectrum. The results obtained are applied to second-order differential operators.

UDC: 517.9

Received: 03.03.1968


 English version:
Mathematics of the USSR-Izvestiya, 1969, 3:1, 51–63

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© Steklov Math. Inst. of RAS, 2026