Subspace structure of some operator and Banach spaces
Functional Analysis
2010-09-21 v1 Logic
Abstract
We construct a family of separable Hilbertian operator spaces, such that the relation of complete isomorphism between the subspaces of each member of this family is complete . We also investigate some interesting properties of completely unconditional bases of the spaces from this family. In the Banach space setting, we construct a space for which the relation of isometry of subspaces is equivalent to equality of real numbers.
Cite
@article{arxiv.1009.3591,
title = {Subspace structure of some operator and Banach spaces},
author = {Timur Oikhberg and Christian Rosendal},
journal= {arXiv preprint arXiv:1009.3591},
year = {2010}
}
Comments
30 pages