Geodesic
A Diaz-Metcalf type inequality for positive linear maps and its applications
The electronic journal of linear algebra, Tome 22 (2011), pp. 179-190.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We present a Diaz-Metcalf type operator inequality as a reverse Cauchy-Schwarz inequality and then apply it to get some operator versions of Pólya-Szeg$\ddot o$'s, Greub-Rheinboldt's, Kantorovich's, Shisha-Mond's, Schweitzer's, Cassels' and Klamkin-McLenaghan's inequalities via a unified approach. We also give some operator Grüss type inequalities and an operator Ozeki- Izumino-Mori-Seo type inequality. Several applications are included as well.
Classification : 46L08, 26D15, 46L05, 47A30, 47A63
Keywords: diaz-metcalf type inequality, reverse Cauchy-Schwarz inequality, positive map, ozeki-izumino-Mori-seo inequality, operator inequality 
@article{ELA_2011__22__a66,
     author = {Moslehian, Mohammad Sal and Nakamoto, Ritsuo and Seo, Yuki},
     title = {A {Diaz-Metcalf} type inequality for positive linear maps and its applications},
     journal = {The electronic journal of linear algebra},
     pages = {179--190},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a66/}
}
TY  - JOUR
AU  - Moslehian, Mohammad Sal
AU  - Nakamoto, Ritsuo
AU  - Seo, Yuki
TI  - A Diaz-Metcalf type inequality for positive linear maps and its applications
JO  - The electronic journal of linear algebra
PY  - 2011
SP  - 179
EP  - 190
VL  - 22
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ELA_2011__22__a66/
LA  - en
ID  - ELA_2011__22__a66
ER  - 
%0 Journal Article
%A Moslehian, Mohammad Sal
%A Nakamoto, Ritsuo
%A Seo, Yuki
%T A Diaz-Metcalf type inequality for positive linear maps and its applications
%J The electronic journal of linear algebra
%D 2011
%P 179-190
%V 22
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ELA_2011__22__a66/
%G en
%F ELA_2011__22__a66
Moslehian, Mohammad Sal; Nakamoto, Ritsuo; Seo, Yuki. A Diaz-Metcalf type inequality for positive linear maps and its applications. The electronic journal of linear algebra, Tome 22 (2011), pp. 179-190. http://geodesic.mathdoc.fr/item/ELA_2011__22__a66/