SciELO - Scientific Electronic Library Online

 
vol.39 issue1Hermite-Hadamard type fractional integral inequalities for products of two MT (r;g,m,φ)- preinvex functions author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

ZGUITTI, Hassane. Furter common local spectral properties for bounded linear operators. Proyecciones (Antofagasta) [online]. 2020, vol.39, n.1, pp.243-259. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2020-01-0015.

Abstract

We study common local spectral properties for bounded linear operators A ∈ ℒ(X,Y)

and B,C ∈ ℒ (Y,X) such that

A(BA) 2 =ABACA=ACABA=(AC) 2 A.

We prove that AC and BA share the single valued extension property, the Bishop property (β), the property (β ε ), the decomposition property (δ) and decomposability. Closedness of analytic core and quasinilpotent part are also investigated. Some applications to Fredholm operators are given.

Keywords : Jacobson's lemma; Common properties; Local spectral theory..

        · text in English     · English ( pdf )