Explore BrainMass

Explore BrainMass

    Normed Linear Space : Continuity

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Suppose that N is a normed linear space. Prove that every linear functional on N is continuous if and only if N is finite dimensional.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:11 pm ad1c9bdddf
    https://brainmass.com/math/vector-calculus/normed-linear-space-continuity-34001

    Solution Summary

    Continuity in a normed linear space is investigated. The solution is detailed and well presented.

    $2.49

    ADVERTISEMENT