Far Eastern Mathematical Journal

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Study of spectral properties of a translation operator


V. I. Zhukova, L. N. Gamolja

2004, issue 1, Ñ. 158–164


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.

Keywords:
translation operator, closure, resolvent, spectrum

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References

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