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) ...

Get Mathematical Analysis Fundamentals now with the O’Reilly learning platform.

O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.