Document Type
Lecture
Publication Date
9-18-2007
Abstract
One of the most interesting questions in the operator space theory was: “What are the possible operator algebra products that a given operator space can be equipped with?” I answered this question by using quasi-mulipliers. That is, the possible operator algebra products that a given operator space can be equipped with are precisely the bilinear mappings implemented by the contractive quasi-multipliers of the operator space. Furthermore, I gave an elegant geometric characterization of the operator algebra products using the Haagerup tensor product. The Blecher-Ruan-Sinclair Theorem is obtained as a simple corollary.
Relational Format
presentation
Recommended Citation
Kaneda, Masayoshi, "Quasi-multipliers and algebrizations of operator spaces" (2007). Analysis Seminar. 45.
https://egrove.olemiss.edu/math_analysis/45
