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Mathematical Analysis Fundamentals by Agamirza Bashirov

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Definition 12.17

A vector space Eimage is called an inner product space if the real number p,qimage, called the inner product of pimage and qimage, is assigned to each p,qEimage such that the following axioms hold:

(a) (Nonnegativity) pE,p,p0.

(b) (Nondegeneracy) ...

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