Dodds, Peter G.; Dodds, Theresa K. On a submajorization inequality of T. Ando. (English) Zbl 0826.46054 Huijsmans, C. B. (ed.) et al., Operator theory in function spaces and Banach lattices. Essays dedicated to A. C. Zaanen on the occasion of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 75, 113-131 (1994). Summary: A submajorization inequality of T. Ando for operator monotone functions is extended to the setting of measurable operators affiliated with a semifinite von Neumann algebra. The general form yields certain norm inequalities for the absolute value in symmetric operator spaces which were previously known in the setting of trace ideals.For the entire collection see [Zbl 0949.47500]. Cited in 11 Documents MSC: 46L51 Noncommutative measure and integration 46L53 Noncommutative probability and statistics 46L54 Free probability and free operator algebras 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 47A63 Linear operator inequalities 47B65 Positive linear operators and order-bounded operators Keywords:submajorization inequality; operator monotone functions; measurable operators affiliated with a semifinite von Neumann algebra; absolute value in symmetric operator spaces; trace ideals PDFBibTeX XMLCite \textit{P. G. Dodds} and \textit{T. K. Dodds}, in: Operator theory in function spaces and Banach lattices. Essays dedicated to A. C. Zaanen on the occasion of his 80th birthday. Symposium, Univ. of Leiden, NL, September 1993. Basel: Birkhäuser. 113--131 (1994; Zbl 0826.46054)