Convex-transitive characterizations of Hilbert spaces

Details Convex-transitive characterizations of Hilbert spaces Convex-transitive characterizations of Hilbert spaces

2007-05-17

arxiv.org/abs/0705.2526v2

Mathematics

Functional Analysis

23 pages

Scientific paper

In this paper we investigate real convex-transitive Banach spaces X, which admit a 1-dimensional bicontractive projection P on X. Various mild conditions regarding the weak topology and the geometry of the norm are provided, which guarantee that such an X is in fact isometrically a Hilbert space. The results obtained can be regarded as partial answers to the well-known Banach-Mazur rotation problem, as well as to a question posed by B. Randrianantoanina in 2002 about convex-transitive spaces.

Affiliated with

Also associated with

No associations

Rating

Convex-transitive characterizations of Hilbert spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Convex-transitive characterizations of Hilbert spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Convex-transitive characterizations of Hilbert spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142357