ESSENTIAL ASCENT AND ESSENTIAL DESCENT OF LINEAR OPERATORS AND COMPOSITION OPERATORS

Harish Chandra; Pradeep Kumar

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

Volume 16, Issue 2 Pages 13-22 August 30, 2020 193 downloads

Article overview

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 l^p spaces.

Keywords and Phrases

Essential AscentEssential DescentComposition Operator.

AMS Subject Classification

47B33.

Reference information

How to Cite

Harish Chandra, Pradeep Kumar (2020). ESSENTIAL ASCENT AND ESSENTIAL DESCENT OF LINEAR OPERATORS AND COMPOSITION OPERATORS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(2), 13-22.

Back to this issue