A note on multiplication of strong operator measurable functions
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- by G. Schlüchtermann PDF
- Proc. Amer. Math. Soc. 123 (1995), 2815-2816 Request permission
Abstract:
Let $(\Omega ,\Sigma ,\mu )$ be a finite and positive measure space, and let ${U_1}, \ldots ,{U_n}$ be strongly measurable functions with values in the space of bounded linear operators on a Banach space. Then the product ${U_1} \cdots {U_n}$ is again strongly measurable.References
- A. Badrikian, G. W. Johnson, and Il Yoo, The composition of operator-valued measurable functions is measurable, Proc. Amer. Math. Soc. 123 (1995), no. 6, 1815–1820. MR 1242072, DOI 10.1090/S0002-9939-1995-1242072-9
- N. Dinculeanu, Vector measures, Hochschulbücher für Mathematik, Band 64, VEB Deutscher Verlag der Wissenschaften, Berlin, 1966. MR 0206189
- G. W. Johnson, The product of strong operator measurable functions is strong operator measurable, Proc. Amer. Math. Soc. 117 (1993), no. 4, 1097–1104. MR 1123654, DOI 10.1090/S0002-9939-1993-1123654-X
Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2815-2816
- MSC: Primary 46G10; Secondary 46E40, 47A56
- DOI: https://doi.org/10.1090/S0002-9939-1995-1260179-7
- MathSciNet review: 1260179