Citation
F. Hiai et H. Kosaki, Means for matrices and comparison of their norms, INDI MATH J, 48(3), 1999, pp. 899-936
Citations number
31
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518
→ ACNP
Volume
48
Issue
3
Year of publication
1999
Pages
899 - 936
Database
ISI
SICI code
0022-2518(199923)48:3<899:MFMACO>2.0.ZU;2-N
Abstract
Systematic and unified investigation is made for matrix means. Arithmetic,
logarithmic, geometric, and harmonic means as well as natural one-parameter
families of matrix means interpolating them are considered, and various co
mparison results for these means in arbitrary unitarily invariant norms are
obtained.