A Hilbert $C^*$-module not anti-isomorphic to itself
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- by Mohammad B. Asadi and A. Khosravi PDF
- Proc. Amer. Math. Soc. 135 (2007), 263-267 Request permission
Abstract:
We study the complexification of real Hilbert $C^*$-modules over real $C^*$-algebras. We give an example of a Hilbert $\mathcal {A}_c$-module that is not the complexification of any Hilbert $\mathcal {A}$-module, where $\mathcal {A}$ is a real $C^*$-algebra.References
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Additional Information
- Mohammad B. Asadi
- Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, 599 Taleghani Avenue, Tehran 15614, Iran
- Email: mb.asadi@gmail.com
- A. Khosravi
- Affiliation: Faculty of Mathematical Sciences and Computer Engineering, Teacher Training University, 599 Taleghani Avenue, Tehran 15614, Iran
- Email: khosravi@saba.tmu.ac.ir
- Received by editor(s): July 31, 2005
- Received by editor(s) in revised form: August 19, 2005
- Published electronically: August 2, 2006
- Communicated by: Joseph A. Ball
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 263-267
- MSC (2000): Primary 46L99, 46H25, 19K99
- DOI: https://doi.org/10.1090/S0002-9939-06-08474-7
- MathSciNet review: 2280194