ضرب داخلي در فضاهاي نرم دار احتمالي

Inner Product In Probabilistic Normed Space

In this paper we first define the probabilistic inner product space and after that we research the main inequality of them named Cauchy-Schwarz inequality and so represent the perfect definition of PIP space with considering the probabilistic Cauchy-Schwarz inequality and finally obtain the Probabilistic Pythagorean Law.