Citation
F. Hiai et H. Kosaki, Comparison of various means for operators, J FUNCT ANA, 163(2), 1999, pp. 300-323
Citations number
14
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF FUNCTIONAL ANALYSIS
ISSN journal
00221236
→ ACNP
Volume
163
Issue
2
Year of publication
1999
Pages
300 - 323
Database
ISI
SICI code
0022-1236(19990420)163:2<300:COVMFO>2.0.ZU;2-B
Abstract
For Hilbert space operators H, K, X with H, K greater than or equal to 0 th
e norm inequality \\\H-1/2 XK1/2\\\less than or equal to 1/2\\\HX + XK\\\ i
s known. \\\ . \\\ is an arbitrary unitarily invariant norm. A refinement o
f this arithmetic-geometric mean inequality is studied. Similar norm inequa
lities. are indeed established Fur various natural means for operators such
as the logarithmic mean. (C) 1999 Academic Press.