On eigenvalues and surjectivity using fixed points.

Anoop S.K; K. T. Ravindran

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On eigenvalues and surjectivity using fixed points.

Author(s)

Anoop S.K Research Scholar, P.G. Dept. and Research Centre in Mathematics, Payyanur College, Payyanur, Kannur, Kerala, India

K. T. Ravindran P.G. Dept. and Research Centre in Mathematics, Payyanur College, Payyanur, Kannur, Kerala, India

Abstract

Here first we will prove the existence of fixed points for a weakly continuous, strictly quasi bounded operator on a reflexive Banach space and a completely continuous, strictly quasi bounded operator on any normed linear space. Using these results we can deduce the existence of eigen values and surjectivity of quasi hounded operator in similar situations.

Publication Details

Page(s) 171-175

DOI DOI not available

Published Journal: Journal of Prime Research in Mathematics, Volume: 5, Issue: 0, Year: 2009

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