Would the space C(a,b) (where any element of the space is a continuous complex function) also be a space over the field R of real numbers since the field C has a subfield that is isomorphic to R?(adsbygoogle = window.adsbygoogle || []).push({});

EDIT: I am thinking yes because all of the axioms that have to be satisfied in order for a set to be a vector space is satisfied if you have C(a,b) being a space over R.

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# Vector spaces

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