Löwner's operator and spectral functions in Euclidean Jordan algebras

Defeng Sun, J. Sun

Research output: Journal article publicationJournal articleAcademic researchpeer-review

108 Citations (Scopus)


We study analyticity, differentiability, and semismoothness of Löwner's operator and spectral functions under the framework of Euclidean Jordan algebras. In particular, we show that many optimization-related classical results in the symmetric matrix space can be generalized within this framework. For example, the metric projection operator over any symmetric cone defined in a Euclidean Jordan algebra is shown to be strongly semismooth. The research also raises several open questions, whose answers would be of strong interest for optimization research. © 2008 INFORMS.
Original languageEnglish
Pages (from-to)421-445
Number of pages25
JournalMathematics of Operations Research
Issue number2
Publication statusPublished - 1 May 2008
Externally publishedYes


  • Euclidean Jordan algebras
  • Löwner's operator
  • Semismoothness
  • Spectral functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Computer Science Applications
  • Management Science and Operations Research


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