Banach spaces with small spaces of operators

Details Banach spaces with small spaces of operators Banach spaces with small spaces of operators

1994-07-20

arxiv.org/abs/math/9407209v1

Mathematics

Functional Analysis

Scientific paper

For a certain class of algebras $\cal A$ we give a method for constructing Banach spaces $X$ such that every operator on $X$ is close to an operator in $\cal A$. This is used to produce spaces with a small amount of structure. We present several applications. Amongst them are constructions of a new prime Banach space, a space isomorphic to its subspaces of codimension two but not to its hyperplanes and a space isomorphic to its cube but not to its square.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570380