Differentiability of the norm in von Neumann algebras

Taylor, Keith F.; Werner, Wend

doi:10.1090/S0002-9939-1993-1149980-6

Differentiability of the norm in von Neumann algebras

Authors: Keith F. Taylor and Wend Werner
Journal: Proc. Amer. Math. Soc. 119 (1993), 475-480
MSC: Primary 46L10; Secondary 46B07
DOI: https://doi.org/10.1090/S0002-9939-1993-1149980-6
MathSciNet review: 1149980
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Abstract: Smooth points in von Neumann algebras are characterized in terms of minimal projections. The theorem generalizes known results for the algebra ${L^\infty }(\Omega ,\Sigma ,\mu )$ and the space of bounded linear operators on a Hilbert space.

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