In order to sketch the main lines of research without getting lost in technical details, we have chosen a dictionary type presentation providing a "virtual" overview of the theory: thus we will not give proofs but concentrate on the underlying ideas. Here the online version - now also available in PDF and DVI - provides a very flexible tool to experience the dense network of various links between the different branches of operator space theory.
The choice of the individual sections follows the main research interests
of the members of the operator algebra group at Saarbrücken.
|Short History||Gerd Wittstock, Ina Zimmermann, Matthias Neufang|
|Operator Spaces and Completely Bounded Mappings||Benedikt Betz
Gerd Wittstock (MIN and MAX)
|Hilbertian Operator Spaces||Anselm Lambert|
|Operator Systems and Completely Positive Maps||Hans-Jörg Fischer|
|Multiplicative Structures||Matthias Neufang|
|Tensor Products||Gerd Wittstock
Kim Louis (Exact operator spaces)
Ina Zimmermann (Module Haagerup tensor product)
|Complete Local Reflexivity||Kim Louis|
|Completely Bounded Multilinear Mappings||Matthias Neufang|
|Automatic Complete Boundedness||Matthias Neufang|
|Mapping Spaces||Kim Louis|
|Appendix||Gerd Wittstock (Tensor products)
Anselm Lambert (Interpolation)
Anselm Lambert and Matthias Neufang enjoy the CBFRP (completely bounded final redaction property).