A subnormal semigroup without normal extension
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- by Arthur Lubin PDF
- Proc. Amer. Math. Soc. 68 (1978), 176-178 Request permission
Abstract:
Theorem 1. There exists a subnormal semigroup with no commuting normal extension. Theorem 2. There exist two commuting quasinormal operators without commuting normal extension.References
- M. B. Abrahamse, Commuting subnormal operators, Illinois J. Math. 22 (1978), no. 1, 171–176. MR 463960
- Paul R. Halmos, A Hilbert space problem book, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0208368
- Takasi Itô, On the commutative family of subnormal operators, J. Fac. Sci. Hokkaido Univ. Ser. I 14 (1958), 1–15. MR 0107177
- Arthur Lubin, Weighted shifts and products of subnormal operators, Indiana Univ. Math. J. 26 (1977), no. 5, 839–845. MR 448139, DOI 10.1512/iumj.1977.26.26067
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 68 (1978), 176-178
- MSC: Primary 47B20; Secondary 47D05
- DOI: https://doi.org/10.1090/S0002-9939-1978-0500264-8
- MathSciNet review: 0500264