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Characterization of Tracial Functionals by Inequalities for the Spread of a Matrix.
- Source :
- Lobachevskii Journal of Mathematics; Jun2024, Vol. 45 Issue 6, p2478-2484, 7p
- Publication Year :
- 2024
-
Abstract
- Via inequalities for the spread of a matrix we characterize the trace on the full matrix algebra among all positive linear functionals with , where is the unit of and . We also present three characterizations of the trace in this class of functionals for all . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 19950802
- Volume :
- 45
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Lobachevskii Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 180037016
- Full Text :
- https://doi.org/10.1134/S1995080224602777