On eigenvalues and surjectivity using fixed points

Authors

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

Keywords:

Reflexive banach space, weakly continuous functions, completely continuous functions, quasi bounded functions, strictly quasi bounded functions

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 bounded operator in similar situations.

Downloads

Download data is not yet available.

Downloads

Published

2009-12-31

Issue

Vol. 5 No. 1 (2009): Journal of Prime Research in Mathematics

Section

Regular

How to Cite

On eigenvalues and surjectivity using fixed points. (2009). Journal of Prime Research in Mathematics, 5(1), 171 – 175. https://jprm.sms.edu.pk/index.php/jprm/article/view/55