Sentence examples for operator space from inspiring English sources

This result is the operator space analogue of Dor's theorem.

We also give operator space versions of these results.

We identify the greatest operator space cross norm and show that the spatial tensor norm is the least operator space cross norm in an appropriate sense.

It implies that the space ℓn1 contains (as an operator space) a large subspace uniformly isomorphic (as an operator space) to Rk+Ck with k∼n1/2.

Moreover, we show that an operator space V has the λ-local lifting property if and only if its operator space dual V* is λ-injective.

We develop for quantized metric spaces an operator space version of quantum Gromov Hausdorff distance.

Junge, Embedding of the operator space OH and the logarithmic 'little Grothendieck inequality', Invent.

The Fourier algebras have a natural operator space structure as preduals of von Neumann algebras.

For the case whereVis a matrix ordered operator space, a natural cone is defined on the operator spaceX*⊗hV⊗hX, with ⊗hindicating the Haagerup tensor product, so as to make it a matrix ordered operator space.

Finally, we show that, in contrast to Banach space case, there exists a separable operator space, which cannot be completely isomorphic to a subspace of an operator space with a cb-basis.

Given an operator space V, we study several different types of completely bounded polynomials on V which form the operator space duals of ⊗m,sV endowed with related operator structures.