A remark on the spectrum of the analytic generator

Details A remark on the spectrum of the analytic generator A remark on the spectrum of the analytic generator

2006-04-28

arxiv.org/abs/math/0604616v1

Rep. Math. Phys. 48 no. 3 (2001), 407-414

Mathematics

Functional Analysis

Scientific paper

It is shown that although the spectrum of the analytic generator of a
one--parameter group of isometries of a Banach space may be equal to the whole
complex plane, a simple operation of ampliating the analytic generator onto its
graph locates its spectrum in the positive halfline.

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