In this paper, for the first time, notion of multi complex numbers and multi complex number valued inner product is introduced in multi linear (vector) space. Starting from the definition, some basic properties of multi inner product spaces are studied along with examples. Multi number valued parallelogram law and polarization identity are established in multi inner product space.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.