A l_1-predual which is not isometric to a quotient of C(alpha)

Details A l_1-predual which is not isometric to a quotient of C(alpha) A l_1-predual which is not isometric to a quotient of C(alpha)

1992-04-27

arxiv.org/abs/math/9204215v1

Mathematics

Functional Analysis

Scientific paper

About twenty years ago Johnson and Zippin showed that every separable L_1(mu)-predual was isometric to a quotient of C(Delta ), where Delta is the Cantor set. In this note we will show that the natural analogue of the theorem for l_1-preduals does not hold. We will show that there are many l_1-preduals which are not isometric to a quotient of any C(K)-space with K a countable compact metric space. We also prove some general results about the relationship between l_1-preduals and quotients of C(K)-spaces with K a countable compact metric space. The results in this paper were presented at the Workshop on Banach Space Theory in Merida, Venezuela, January 1992.

Affiliated with

Also associated with

No associations

Rating

A l_1-predual which is not isometric to a quotient of C(alpha) 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 l_1-predual which is not isometric to a quotient of C(alpha), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A l_1-predual which is not isometric to a quotient of C(alpha) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-334605