Ashkan Mohammadi

3 Questions 8 Answers 0 Followers

Questions related from Ashkan Mohammadi

How do convex, closed, bounded sets behave in Banach spaces?

Let A be a closed, bounded, and convex subset of a Banach space X.Suppose V is a convex and open subset of X containing A, (A⊂V). Is there an open neighborhood of zero, say U in X such that...

09 April 2017 3,115 7 View

How can one characterize the boundary of a convex set?

I am working on a part of a paper related to topological properties of boundary points. It is important for me to realize the topological and algebraic behavior the boundary points of the convex...

19 March 2015 9,318 16 View

Does there exist a norm space such as X, which is ordered by close convex pointed cone S such that S-S is not close?

Notice that S is pointed if and only if S \cap -S = {0}

25 April 2014 7,325 3 View