A non-unital $^\ast$-algebra has U$C^{\ast }$NP if and only if its unitization has U$C^{\ast }$NP
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- by H. V. Dedania and H. J. Kanani
- Proc. Amer. Math. Soc. 141 (2013), 3905-3909
- DOI: https://doi.org/10.1090/S0002-9939-2013-11725-9
- Published electronically: July 23, 2013
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Abstract:
The result stated in the title is proved, thereby disproving the result shown in a 1983 paper by B. A. Barnes (Theorem 4.1).References
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Bibliographic Information
- H. V. Dedania
- Affiliation: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, Gujarat, India
- MR Author ID: 338194
- ORCID: 0000-0002-6353-6924
- Email: hvdedania@yahoo.com
- H. J. Kanani
- Affiliation: Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar-388120, Gujarat, India
- Email: hitenmaths69@gmail.com
- Received by editor(s): August 8, 2011
- Received by editor(s) in revised form: January 23, 2012
- Published electronically: July 23, 2013
- Additional Notes: This work has been supported by UGC-SAP-DRS-II Grant No. F.510/3/DRS/2009 provided to the Department of Mathematics, Sardar Patel University.
- Communicated by: Marius Junge
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 141 (2013), 3905-3909
- MSC (2010): Primary 46K05; Secondary 46H05
- DOI: https://doi.org/10.1090/S0002-9939-2013-11725-9
- MathSciNet review: 3091779