Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (6): 2329-2340.doi: 10.1016/S0252-9602(12)60183-0

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

Nedra Moalla   

  1. Département de Mathématiques, Université|de Sfax, Faculté|des Sciences de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3018, Sfax, Tunisie
  • Received:2011-02-23 Revised:2011-08-05 Online:2012-11-20 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.

Key words: measure of non-strict-singularity, Fredholm operator, Schechter essential spectrum, matrix operator

CLC Number: 

  • 47B40
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