Jump to content

Talk:Bounded inverse theorem

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Confusing example

The example as presented is somewhat confusing. I believe it could be improved by noting the following:

  • The reason that the example space X is a not a Banach space is because it is not complete (see Completeness (topology)). (Talking about it failing to be a close subspace of l-infty seems beside the point, and confuses the issue.)
  • The completion of the example space X is l-infinity. However, in this case, the map T is not onto (and thus not bijective). So, for example, the sequence is in l-infty, but is not in the range of T.

Whatever, maybe I'll just change the article directly. Just posted here to clarify my thinking :-) linas (talk) 00:47, 9 November 2008 (UTC)[reply]