Geodesic
Harmonic Analysis of Nonquasianalytic Operators in Real Banach Space
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 19-28

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In the real Banach space we consider linear bounded invertible operator, norms of powers of which satisfy the condition of nonquasianalyticity. For this operator, we obtain conditions of existence of non-trivial invariant subspace and decomposability (in Foias sense).
Keywords: the real Banach space, operator spectrum, invariant subspaces, Beurling spectrum, decomposable (in Foias sense) operator. 
E. E. Dikarev; D. M. Polyakov. Harmonic Analysis of Nonquasianalytic Operators in Real Banach Space. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 19-28. http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a1/
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