Asian Journal of Information Technology

Characterizations of Inner Product Spaces in Terms of Normed Linear Spaces

Md. Shahjahan Ali and Md.Rezaul Karim

Abstract: The great-celebrated theorem due to Jordan and Von-Neumann had revealed that an inner product could be obtained from a norm provided the norm satisfies the parallelogram law. We have also studied some other related theorems and corollaries deduced from Jordan and Von-Neumann.