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. 
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     author = {E. E. Dikarev and D. M. Polyakov},
     title = {Harmonic {Analysis} of {Nonquasianalytic} {Operators} in {Real} {Banach} {Space}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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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/