Parallel to the study of finite dimensional Banach spaces, there is a growing interest in the corresponding local theory of operator spaces. We define a family of Hilbertian operator spaces H k n , 1â€¦ (More)

BACKGROUND AND PURPOSE
The activation of the metabotropic glutamate receptor 2 (mGlu2 ) reduces glutamatergic transmission in brain regions where excess excitatory signalling is implicated inâ€¦ (More)

In the category of operator spaces, that is, subspaces of the bounded linear operators B(H) on a complex Hilbert space H together with the induced matricial operator norm structure, objects areâ€¦ (More)

These three questions had all been answered in the binary cases. Question 1 was answered affirmatively by Sakai [17] for Câˆ—-algebras and by Upmeier [23] for JB -algebras. Question 2 was answered byâ€¦ (More)

We construct some separable infinite-dimensional homogeneous Hilbertian operator spaces H âˆž and H m,L âˆž , which generalize the row and column spaces R and C (the case m = 0). We show that a separableâ€¦ (More)

We develop a cohomology theory for Jordan triples, including the infinite dimensional ones, by means of the cohomology of TKK Lie algebras. This enables us to apply Lie cohomological results to theâ€¦ (More)

It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well knownâ€¦ (More)

We give a geometric realization of space-time spinors and associated representations, using the Jordan triple structure associated with the Cartan factors of type 4, the so-called spin factors. Weâ€¦ (More)

We prove that every (not necessarily linear nor continuous) 2-local triple derivation on a von Neumann algebra M is a triple derivation, equivalently, the set Dert(M), of all triple derivations on M,â€¦ (More)