Journal of Mathematical Sciences

, Volume 213, Issue 6, pp 823–831 | Cite as

Harmonic Analysis of Nonquasianalytic Operators in a Real Banach Space

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In a real Banach space, we consider linear bounded invertible operators such that the norms of their powers are nonquasianalytic. We obtain the condition of the existence of a nontrivial invariant subspace and the condition of decomposability (in the sense of Foia¸s) of such operators. Bibliography: 14 titles.

Keywords

Banach Space Linear Subspace Invariant Subspace Banach Algebra Real Banach Space 
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© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Voronezh State UniversityVoronezhRussia

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