An Elementary Approach to Locally Convex Operator Spaces
by
Susanne Dierolf
Universitaet Trier

Operator spaces have been a new and fascinating topic of research for more than ten years. They have been treated by authors such as Effros, Pisier, Paulsen, Ruan, Webster, Winkler, Wittstock and many others. Their presentation of operator spaces is quite demanding; it is a presentation "from above". The aim of this talk is to present an introduction to the theory of locally convex operator spaces which is completely elementary and utilizes only the standard tools of usual locally convex spaces - an introduction "from below". It turns out that locally convex operator spaces can be treated very similarly to usual locally convex spaces and that most of the topics for locally convex spaces have an analogue in the category of locally convex operator spaces.

Date received: March 30, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-98.