3,288 research outputs found
A Maurey type result for operator spaces
The little Grothendieck theorem for Banach spaces says that every bounded
linear operator between and is 2-summing. However, it is shown
in \cite{J05} that the operator space analogue fails. Not every cb-map v : \K
\to OH is completely 2-summing. In this paper, we show an operator space
analogue of Maurey's theorem : Every cb-map v : \K \to OH is -summing
for any and hence admits a factorization with in the unit ball of the Schatten class .Comment: 29 pages. To appear in Journal of Functional Analysi
- β¦