Complemented subspaces of spaces obtained by interpolation

Details Complemented subspaces of spaces obtained by interpolation Complemented subspaces of spaces obtained by interpolation

1990-06-20

arxiv.org/abs/math/9201212v2

J. L.M.S. (2) 44 (1991), 503-513

Mathematics

Functional Analysis

Scientific paper

If Z is a quotient of a subspace of a separable Banach space X, and V is any separable Banach space, then there is a Banach couple (A_0,A_1) such that A_0 and A_1 are isometric to $X\oplus V$, and any intermediate space obtained using the real or complex interpolation method contains a complemented subspace isomorphic to Z. Thus many properties of Banach spaces, including having non-trivial cotype, having the Radon-Nikodym property, and having the analytic unconditional martingale difference sequence property, do not pass to intermediate spaces.

Affiliated with

Also associated with

No associations

Rating

Complemented subspaces of spaces obtained by interpolation 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 Complemented subspaces of spaces obtained by interpolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complemented subspaces of spaces obtained by interpolation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-599438