The Goldstine-Weston theorem in random normed modules

Details The Goldstine-Weston theorem in random normed modules The Goldstine-Weston theorem in random normed modules

2010-10-21

arxiv.org/abs/1010.4522v1

Mathematics

Functional Analysis

Scientific paper

This article generalize the classical Goldstine-Weston theorem on normed spaces to one on random normed modules: the image of a random normed module $(E,\|\cdot\|)$ under the random natural embedding $J$ is dense in its double random conjugate space $E^{**}$ with respect to the $(\epsilon,\lambda)$ weak star topology; and $J(E)$ is also dense in $E^{**}$ with respect to the locally $L^{0}$-convex weak star topology if $E$ has the countable concatenation property.

Affiliated with

Also associated with

No associations

Rating

The Goldstine-Weston theorem in random normed modules 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 The Goldstine-Weston theorem in random normed modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Goldstine-Weston theorem in random normed modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-423960