Polar decompositions of bounded linear functionals on operator subalgebras

Author:
Masaharu Kusuda

Journal:
Proc. Amer. Math. Soc. **118** (1993), 839-843

MSC:
Primary 46L10

MathSciNet review:
1149973

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Abstract: Let be a von Neumann algebra and let be a normal linear functional on a strongly closed -subalgebra of . Denote by the set of normal linear functionals on extending with . It is shown that there exists a partial isometry in such that

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DOI:
https://doi.org/10.1090/S0002-9939-1993-1149973-9

Article copyright:
© Copyright 1993
American Mathematical Society