ESSENTIAL ASCENT AND ESSENTIAL DESCENT OF LINEAR OPERATORS AND COMPOSITION OPERATORS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 179

Volume : 16 , Issue : 2
DOI:
Author :
Harish Chandra (Department of Mathematics, DST-CIMS, Banaras Hindu University, Varanasi - 221005, Uttar Pradesh, INDIA)
Pradeep Kumar (Department of Mathematics, DST-CIMS, Banaras Hindu University, Varanasi - 221005, Uttar Pradesh, INDIA)

Abstract

In this paper we prove certain results relating to essential ascent and essential descent of linear operator on an arbitrary vector space. Further, we give a complete characterization of essential ascent and essential descent of composition operators on lp spaces.

Keywords and Phrases

Essential Ascent, Essential Descent, Composition Operator.

A.M.S. subject classification

47B33.

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