1997Banach Center PublicationsOpen access

Hilbert modules and tensor products of operator spaces

Bojan Magajna

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Abstract

The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product $\bar{H}\hat{⨂}H$ is extended to the context of Hilbert modules over commutative von Neumann

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The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product $\bar{H}\hat{⨂}H$ is extended to the context of Hilbert modules over commutative von Neumann

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Available abstract

The classical identification of the predual of B(H) (the algebra of all bounded operators on a Hilbert space H) with the projective operator space tensor product $\bar{H}\hat{⨂}H$ is extended to the context of Hilbert modules over commutative von Neumann

Key concepts: Tensor product of Hilbert spaces, Operator space, Tensor product, Mathematics, Hilbert space, Pure mathematics, Von Neumann's theorem, Compact operator on Hilbert space

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