This article is cited in 3 papers

Structure of the point spectrum of a linear operator

L. N. Nikol'skaya

Leningrad Polytechnical Institute

Abstract: In order that a set of complex numbers be the point spectrum of some linear operator in a separable Hilbert space it is necessary and sufficient that it be a set of type $F_\sigma$.

UDC: 513.88

Received: 26.06.1972

 English version: Mathematical Notes, 1974, 15:1, 83–87

Bibliographic databases:

• 
•