Abstract
A free normed module X ⊗ F over the (complex) algebra F of finite dimensional operators on a separable Hilbert space H 0 is called an operator space if it is isometrical isomorphic to a submodule of L(H 1) ⊗min F, where ⊗min denotes the minimal (or spatial) tensor product. One might consider operator spaces as ‘non-commutative’ normed spaces because, formally, the scalar field has been replaced by F
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© 2000 Springer-Verlag Berlin Heidelberg
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Werner, W. (2000). Some Free Ordered C*-Modules. In: Cuntz, J., Echterhoff, S. (eds) C*-Algebras. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57288-3_14
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DOI: https://doi.org/10.1007/978-3-642-57288-3_14
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