Nilpotent elements of operator ideals as single commutators
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- by Ken Dykema and Amudhan Krishnaswamy–Usha PDF
- Proc. Amer. Math. Soc. 146 (2018), 3031-3037 Request permission
Abstract:
For an arbitrary operator ideal $\mathcal {I}$, every nilpotent element of $\mathcal {I}$ is a single commutator of operators from $\mathcal {I}^{ t}$ for an exponent $t$ that depends on the degree of nilpotency.References
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Additional Information
- Ken Dykema
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- MR Author ID: 332369
- Email: ken.dykema@math.tamu.edu
- Amudhan Krishnaswamy–Usha
- Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
- Email: amudhan@math.tamu.edu
- Received by editor(s): June 12, 2017
- Received by editor(s) in revised form: August 24, 2017, and October 15, 2017
- Published electronically: February 28, 2018
- Communicated by: Stephan Ramon Garcia
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 3031-3037
- MSC (2010): Primary 47B47; Secondary 47L20
- DOI: https://doi.org/10.1090/proc/13987
- MathSciNet review: 3787363