Abstract

In the previous chapters, we have considered vector space V over an arbitrary field \(\mathbb {F}\). In the present chapter, we shall restrict ourselves over the field of reals \(\mathbb {R}\) or the complex field \(\mathbb {C}\). One can see that the concept of “length” and “orthogonality” did not appear in the investigation of vector space over arbitrary field. In this chapter, we place an additional structure on a vector space V to obtain an inner product space.

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