Subnormals in $C^{\ast }$-algebras
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- by F. H. Szafraniec PDF
- Proc. Amer. Math. Soc. 84 (1982), 533-534 Request permission
Abstract:
We prove, in a ${C^* }$-algebra set-up, the Bram improvement of Halmos’ characterization of subnormals: $(1) \Rightarrow (2)$.References
- Joseph Bram, Subnormal operators, Duke Math. J. 22 (1955), 75–94. MR 68129
- John W. Bunce, A universal diagram property of minimal normal extensions, Proc. Amer. Math. Soc. 69 (1978), no. 1, 103–108. MR 482331, DOI 10.1090/S0002-9939-1978-0482331-0
- F. H. Szafraniec, On the boundedness condition involved in dilation theory, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 24 (1976), no. 10, 877–881 (English, with Russian summary). MR 425645
- F. H. Szafraniec, Dilations on involution semigroups, Proc. Amer. Math. Soc. 66 (1977), no. 1, 30–32. MR 473873, DOI 10.1090/S0002-9939-1977-0473873-1
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 84 (1982), 533-534
- MSC: Primary 46L05; Secondary 47B20
- DOI: https://doi.org/10.1090/S0002-9939-1982-0643743-6
- MathSciNet review: 643743