Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2012
  • Volume: 31e
  • Issue: 1

Banach steinhaus theorem and invariant mean of reflexivity

  • Author:
  • Nizam Mohammad1, M. Vijayakumar2, Ahmed Maheedulla3
  • Total Page Count: 4
  • Page Number: 43 to 46

1Lecturer, Mathematics Dept., Aljouf University, P.O. Box. 2014, Al-Jouf, Skaka, KSA. Email: alnizam.sir@gmail.com

2Vagdevi P.G. College, Hyderabad (A.P.) E-mail: greengirUas2001@yahoo.com

3Ret. Prof. & Head., M.J. College of Engg. & Tech. Banjarahil, Hyderabad (A.P.) Email:ahmedw51@gmail.com

Online published on 11 January, 2013.

Abstract

Applying Banach stainhaus theorem, we show that if a generalized Banach Space x is not reflexive then the space of bounded function from z with values in x doesnot admit.

Keywords

Invariant mean, Amenable group, Banach Steinhaus theorem