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Subnormal roots of subnormal operators

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Abstract

Suppose that S is a subnormal operator and that S has a square root. Must S have a subnormal square root? We give two examples which answer this question in the negative.

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References

  1. Conway, J. B.: Subnormal Operators, Pitman Publishing, Research Notes in Mathematics, Vol. 51, 1981.

  2. Halmos, P. R., Lumer, G., and Schäffer, J. J.: Square roots of operators, Proc. Amer. Math. Soc. 4 (1953), 142–149.

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  3. Olin, R. F.: Functional relationship between a subnormal operator and its minimal normal extension, Pac. J. Math. 63 (1976), 221–229.

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Authors and Affiliations

  1. Department of Mathematics, University of North Carolina, 27514, Chapel Hill, NC, USA

    Warren R. Wogen

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  1. Warren R. Wogen
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Wogen, W.R. Subnormal roots of subnormal operators. Integr equ oper theory 8, 432–436 (1985). https://doi.org/10.1007/BF01202907

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  • DOI: https://doi.org/10.1007/BF01202907

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