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Hilbert modules and tensor products of operator spaces

Bojan Magajna (1997)

Banach Center Publications

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 H ¯ ^ H is extended to the context of Hilbert modules over commutative von Neumann algebras. Each bounded module homomorphism b between Hilbert modules over a general C*-algebra is shown to be completely bounded with b c b = b . The so called projective operator tensor product of two operator modules X and Y over an abelian von Neumann algebra C is introduced...

How to solve an operator equation.

Martin Mathieu (1992)

Publicacions Matemàtiques

This article summarizes a series of lectures delivered at the Mathematics Department of the University of Leipzig, Germany, in April 1991, which were to overview techniques for solving operator equations on C*-algebras connected with methods developed in a Spanish-German research project on "Structure and Applications of C*-Algebras of Quotients" (SACQ). One of the researchers in this project was Professor Pere Menal until his unexpected death this April. To his memory this paper shall be dedicated....

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