Let $ X$ be a Banach space and let $ M $ be a topologically complemented subspace of $ X$.

If a closed subspace $ N \subset X$ is isomorphic to $ M $, is it topologically complemented too?

  • 2
    $\begingroup$ No. See this. $\endgroup$ – David Mitra Mar 21 at 9:24
  • $\begingroup$ Thank you David. $\endgroup$ – AyoubGhx Mar 21 at 16:44

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.