LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS  

作　　者：Teresa ALVAREZ 

机构地区：[1]Department of Mathematics,University of Oviedo,33007,Oviedo,Asturias,Spain

出　　处：《Acta Mathematica Scientia》2017年第5期1437-1452,共16页数学物理学报（B辑英文版）

基　　金：Supported by MICINN(Spain)Grant MTM201345643

摘　　要：A closed linear relation T in a Banach space X is called left(resp. right) Fredholm if it is upper(resp. lower) semi Fredholm and its range(resp. null space) is topologically complemented in X. We say that T is left(resp. right) Browder if it is left(resp. right)Fredholm and has a finite ascent(resp. descent). In this paper, we analyze the stability of the left(resp. right) Fredholm and the left(resp. right) Browder linear relations under commuting Riesz operator perturbations. Recent results of Zivkovic et al. to the case of bounded operators are covered.A closed linear relation T in a Banach space X is called left(resp. right) Fredholm if it is upper(resp. lower) semi Fredholm and its range(resp. null space) is topologically complemented in X. We say that T is left(resp. right) Browder if it is left(resp. right)Fredholm and has a finite ascent(resp. descent). In this paper, we analyze the stability of the left(resp. right) Fredholm and the left(resp. right) Browder linear relations under commuting Riesz operator perturbations. Recent results of Zivkovic et al. to the case of bounded operators are covered.

关 键 词：left and right Fredholm linear relations left and right Browder linear relations Riesz perturbations 

分 类 号：O[理学]