A series whose sum range is an arbitrary finite set

Details A series whose sum range is an arbitrary finite set A series whose sum range is an arbitrary finite set

2008-03-04

arxiv.org/abs/0803.0415v1

Studia Mathematica 171 (3) (2005), pp. 261-281

Mathematics

Functional Analysis

21 pages

Scientific paper

In finitely-dimensional spaces the sum range of a series has to be an affine subspace. It is long known this is not the case in infinitely dimensional Banach spaces. In particular in 1984 M.I. Kadets and K. Wo\`{z}niakowski obtained an example of a series the sum range of which consisted of two points, and asked whether it is possible to obtain more than two, but finitely many points. This paper answers the question positively, by showing how to obtain an arbitrary finite set as the sum range of a series in any infinitely dimensional Banach space.

Affiliated with

Also associated with

No associations

Rating

A series whose sum range is an arbitrary finite set 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 A series whose sum range is an arbitrary finite set, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A series whose sum range is an arbitrary finite set will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-406112