Perturbation of semi-Browder linear relations by commuting Riesz operators

Abstract

This paper is devoted to the investigation of the stability of upper semi-Browder, lower semi-Browder and Browder linear relations which satisfy the stabilization property, under commuting Riesz operator perturbations. As applications, we infer the invariance of the corresponding Browder’s essential approximate point spectrum, Browder’s essential defect spectrum and Browder’s essential spectrum under commuting Riesz operator perturbations.

Keywords:

• Upper semi-Browder linear relations
• lower semi-Browder linear relations
• perturbation of semi-Browder linear relations
• Riesz operator

AMS Subject Classifications:

• 47A06
• 47A53
• 47A55

Notes

No potential conflict of interest was reported by the authors.