Lindelof type of generalization of separability in Banach spaces

Details Lindelof type of generalization of separability in Banach spaces Lindelof type of generalization of separability in Banach spaces

2008-03-25

arxiv.org/abs/0803.3541v2

Mathematics

Functional Analysis

Scientific paper

We will introduce the countable separation property (CSP) of Banach spaces X, which is defined as follows: For each subset \mathcal{F} of X^{\ast}, which separates X, there exists a countable separating subset \mathcal{F}_{0} of \mathcal{F}. All separable Banach spaces have CSP and plenty of examples of non-separable CSP spaces are provided. Connections of CSP with Markucevic-bases, Corson property and related geometric issues are discussed.

Affiliated with

Also associated with

No associations

Rating

Lindelof type of generalization of separability in Banach 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 Lindelof type of generalization of separability in Banach spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lindelof type of generalization of separability in Banach spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-349119