View source for Talk:Polar body

"If $K$ is a convex set containing the zero element in its interior then $K^\circ$ ... is again a convex neighbourhood of the origin." — Really? Even if $K$ is the whole space $V$? [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 22:59, 23 October 2017 (CEST)
:...bounded...bounded...  Thank you.  [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 08:29, 24 October 2017 (CEST)

Another doubt. Indeed, $K^\circ$ is closed and bounded; but "compact"? Do you implicitly assume finite dimension? In fact, if $V$ is complete, then $K^\circ$ is ''weakly'' compact. [[User:Boris Tsirelson|Boris Tsirelson]] ([[User talk:Boris Tsirelson|talk]]) 10:01, 24 October 2017 (CEST)
:Yes, I do.  [[User:Richard Pinch|Richard Pinch]] ([[User talk:Richard Pinch|talk]]) 19:13, 26 October 2017 (CEST)