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- Publisher
- Springer Journals
- Copyright
- Copyright © 2015 by Springer Basel
- Subject
- Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
- ISSN
- 1385-1292
- eISSN
- 1572-9281
- DOI
- 10.1007/s11117-015-0375-z
- Publisher site
- See Article on Publisher Site
Abstract
The aim in this paper is to study algebraic orthogonality between positive elements of a $$C^{*}$$ C ∗ -algebra in the context of geometric orthogonality. It has been shown that the algebraic orthogonality in certain classes of $$C^{*}$$ C ∗ -algebras is equivalent to geometric orthogonality when supported with some order-theoretic conditions. Further more, algebraic orthogonality between positive elements in a $$C^{*}$$ C ∗ -algebra is also characterized in terms of positive linear functionals.
Journal
Positivity – Springer Journals
Published: Oct 1, 2015