Geodesic
On the Character of Growth of a Non-Contracting Semigroup
Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 285-298.

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An estimation of the growth of a non-contracting semigroup Zt = exp(itA) where A is a non-dissipative operator with a two-dimensional imaginary component is given. Estimation is given in terms of the functional model in de Branges space.
Keywords: Non-Contracting Semigroup, Non-Dissipative Operator 
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     author = {Rozumenko, O. V.},
     title = {On the {Character} of {Growth} of a {Non-Contracting} {Semigroup}},
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Rozumenko, O. V. On the Character of Growth of a Non-Contracting Semigroup. Serdica Mathematical Journal, Tome 35 (2010) no. 3, pp. 285-298. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_3_a6/