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LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS

LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS
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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.
作者 Teresa ALVAREZ
机构地区 Department of Mathematics
出处 《Acta Mathematica Scientia》 SCIE CSCD 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
关键词 left and right Fredholm linear relations left and right Browder linear relations Riesz perturbations left and right Fredholm linear relations left and right Browder linear relations Riesz perturbations
分类号 O [理学]
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Acta Mathematica Scientia
2017年 第5期

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