Articles

LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS

  • Teresa Á ,
  • LVAREZ
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  • Department of Mathematics, University of Oviedo, 33007, Oviedo, Asturias, Spain

Received date: 2015-11-06

  Revised date: 2016-11-25

  Online published: 2017-10-25

Supported by

Supported by MICINN (Spain) Grant MTM2013-45643.

Abstract

A closed linear relation T in a Banach space X is called left (resp. right) Fredholm if it is upper (resp. lower) semiFredholm 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.

Cite this article

Teresa Á , LVAREZ . LEFT-RIGHT BROWDER LINEAR RELATIONS AND RIESZ PERTURBATIONS[J]. Acta mathematica scientia, Series B, 2017 , 37(5) : 1437 -1452 . DOI: 10.1016/S0252-9602(17)30083-8

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