This article is cited in 2 papers

Harmonic Analysis of Some Classes of Linear Operators on a Real Banach Space

E. E. Dikarev, D. M. Polyakov

Voronezh State University

Abstract: 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.

UDC: 517.9

Received: 19.12.2013
Revised: 07.04.2014

DOI: 10.4213/mzm10652

 English version: Mathematical Notes, 2015, 97:5, 684–693

Bibliographic databases:

• 
• 
• 
•