English

Structural properties of weak cotype 2 spaces

Functional Analysis 2009-09-25 v1

Abstract

Several characterizations of weak cotype 2 and weak Hilbert spaces are given in terms of basis constants and other structural invariants of Banach spaces. For finite-dimensional spaces, characterizations depending on subspaces of fixed proportional dimension are proved.

Keywords

Cite

@article{arxiv.math/9501213,
  title  = {Structural properties of weak cotype 2 spaces},
  author = {P. Mankiewicz and Nicole Tomczak-Jaegermann},
  journal= {arXiv preprint arXiv:math/9501213},
  year   = {2009}
}