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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive
Dal'nevost. Mat. Zh., 2004 Volume 5, Number 1, Pages 158–164 (Mi dvmg183)
This article is cited in 1 paper

Study of spectral properties of a translation operator

V. I. Zhukova, L. N. Gamolja

Far Eastern State Transport University

Abstract: The resolvent for a translation operator is constructed. The evaluation of its norm is obtained. From an evaluation follows, that the translation operator is a yielding operator strongly of continuous group of operators.

Key words: translation operator, closure, resolvent, spectrum.

UDC: 517.958

MSC: 82Д75

Received: 23.03.2004


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