Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

What is the dual space of $C([0,T];X)$, where $X$ is a Hilbert space? Is it $\operatorname{BV}([0,T]; X^*)$?

As we know, for $C([0,T])$, the dual space is $\operatorname{BV}([0,T])$, but when it is continuous with vector values in $X$, is it still true?

share|improve this question
Duplicate of Riesz representation and vector-valued functions –  user53153 Dec 27 '12 at 8:16

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.