ON STRONG AND WEAK CONVERGENCE IN $n-$HILBERT SPACES

Agus L. Soenjaya

doi:10.22342/jims.19.2.164.79-87

Agus L. Soenjaya ⁽¹⁾

(1) Department of Mathematics, National University of Singapore,, Singapore

https://doi.org/10.22342/jims.19.2.164.79-87

Issue
Volume 19 Number 2 (October 2013)

Submitted
March 4, 2014

Accepted
March 4, 2014

Published
March 4, 2014

Keywords:

Strong and weak convergence, n-Hilbert space.

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Abstract

We discuss the concepts of strong and weak convergence in n-Hilbert spaces and study their properties. Some examples are given to illustrate the concepts. In particular, we prove an analogue of Banach-Saks-Mazur theorem and Radon-Riesz property in the case of n-Hilbert space.

DOI : http://dx.doi.org/10.22342/jims.19.2.164.79-87

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Authors

Agus L. Soenjaya

Department of Mathematics, National University of Singapore,

agus.leonardi@nus.edu.sg (Primary Contact)

Soenjaya, A. L. (2014). ON STRONG AND WEAK CONVERGENCE IN $n-$HILBERT SPACES. Journal of the Indonesian Mathematical Society, 19(2), 79–87. https://doi.org/10.22342/jims.19.2.164.79-87