Geodesic
Harmonic Analysis of Some Classes of Linear Operators on a Real Banach Space
Matematičeskie zametki, Tome 97 (2015) no. 5, pp. 670-680

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For some classes of bounded linear operators acting in a real Banach space, the methods of abstract harmonic analysis are used to obtain conditions for these operators to be decomposable in the sense of Foiaş and the conditions for the existence of a nontrivial invariant subspace.
Keywords: bounded linear operator, decomposable operator, superdecomposable operator, invariant subspace, real Banach space, Banach module, decomposability in the sense of Foiaş, Beurling spectrum. 
@article{MZM_2015_97_5_a3,
     author = {E. E. Dikarev and D. M. Polyakov},
     title = {Harmonic {Analysis} of {Some} {Classes} of {Linear} {Operators} on a {Real} {Banach} {Space}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {670--680},
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     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a3/}
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E. E. Dikarev; D. M. Polyakov. Harmonic Analysis of Some Classes of Linear Operators on a Real Banach Space. Matematičeskie zametki, Tome 97 (2015) no. 5, pp. 670-680. http://geodesic.mathdoc.fr/item/MZM_2015_97_5_a3/