ESSENTIAL ASCENT AND ESSENTIAL DESCENT OF LINEAR OPERATORS AND COMPOSITION OPERATORS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

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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