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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.



Strong and weak convergence n-Hilbert space.

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How to Cite
Soenjaya, A. L. (2014). ON STRONG AND WEAK CONVERGENCE IN $n-$HILBERT SPACES. Journal of the Indonesian Mathematical Society, 19(2), 79–87.