Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 520-530.doi: 10.1016/S0252-9602(12)60034-4

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SOME PROPERTIES OF m-ISOMETRIES AND m-INVERTIBLE OPERATORS ON BANACH SPACES

Ould Ahmed Mahmoud Sid Ahmed   

  1. Department of Mathematics, College of Science, Aljouf University, Aljouf 2014, Saudi Arabia
  • Received:2009-04-03 Revised:2011-03-17 Online:2012-03-20 Published:2012-03-20

Abstract:

This article has two purposes: the first is to give some structure results for the class of m-isometries, and the second purpose is to extend the notions of left and right inverses to m-left and m-right inverses respectively.

Key words: m-isometry, m-left inverse;, m-right inverse, approximate spectrum, point spectrum

CLC Number: 

  • 47B48
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