Articles

A CHARACTERIZATION OF SCHECHTER´S ESSENTIAL SPECTRUM BY MEAN OF MEASURE OF NON-STRICT-SINGULARITY#br# AND APPLICATION TO MATRIX OPERATOR

  • Nedra Moalla
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  • Département de Mathématiques, Université|de Sfax, Faculté|des Sciences de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3018, Sfax, Tunisie

Received date: 2011-02-23

  Revised date: 2011-08-05

  Online published: 2012-11-20

Abstract

In this paper we use the notion of measure of non-strict-singularity to give some results on Fredholm operators and we establish a fine description of the Schechter essential spectrum of a closed densely defined linear operator.

Cite this article

Nedra Moalla . A CHARACTERIZATION OF SCHECHTER´S ESSENTIAL SPECTRUM BY MEAN OF MEASURE OF NON-STRICT-SINGULARITY#br# AND APPLICATION TO MATRIX OPERATOR[J]. Acta mathematica scientia, Series B, 2012 , 32(6) : 2329 -2340 . DOI: 10.1016/S0252-9602(12)60183-0

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