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I need a clarification:I read in E. Butkov's book that an inner product may always be imposed on a finite dimensional linear vector space in a variety of ways...Butkov does not explain the point...Can anyone please clarify this?

I wonder what it would be for an infinite dimensional case...As we all know that Hilbert space used in quantum mechanics is an infinite dimensional space. Yet all the books almost inherently define the scalar product in Hilbert space.Is there any hinge in the story?

-Thanks,

Neel

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# Inner Product Clarification

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