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5 results for predual

On the predual of a von Neumann algebra, we define a differentiable manifold structure and affine connections by embeddings into non-commutative L_p-spaces. Using the geometry of uniformly convex Banach spaces and duality of the L_p and L_q spaces for 1/p+1/q=1, we show that we can introduce the α-divergence, for αin (…

2003-11-05abs ↗pdf ↗

Study of multidifferential operators and Dorfman connections on Courant algebroids.

problem Exploring multidifferential operators and Dorfman connections on Courant algebroids.
method Construction of an algebra and complex of multidifferential operators, study of Dorfman connections.
result Cartan calculus, curvatures of induced connections and basic differential geometric identities make sense in the constructed algebra.