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.
Md. Shahjahan Ali and Md.Rezaul Karim . Characterizations of Inner Product Spaces in Terms of Normed Linear Spaces.
DOI: https://doi.org/10.36478/ajit.2005.711.714
URL: https://www.makhillpublications.co/view-article/1682-3915/ajit.2005.711.714