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Article
The converse of the Loewner–Heinz inequality via perspective
Linear and Multilinear Algebra (2018)
  • Ismail Nikoufar
  • Moosa Shamohammadi
Abstract
The Loewner–Heinz inequality is not only the most essential one in operator theory, but also a fundamental tool for treating operator inequalities. The aim of this paper is to investigate the converse of the Loewner–Heinz inequality in the view point of perspective and generalized perspective of operator monotone and multiplicative functions. Indeed, we give perspective inequalities equivalent to the Loewner–Heinz inequality.
Keywords
  • Operator monotone function; operator mean; Loewner–Heinz inequality; perspective function
Disciplines
Publication Date
2018
DOI
http://dx.doi.org/10.1080/03081087.2017.1295432
Citation Information
Ismail Nikoufar and Moosa Shamohammadi. "The converse of the Loewner–Heinz inequality via perspective" Linear and Multilinear Algebra Vol. 66 Iss. 2 (2018) p. 243 - 249 ISSN: 0308-1087
Available at: http://works.bepress.com/nikoufar/31/