Anzeige
Erschienen in:
Open Access 01.12.2006 | Research Article
A characterization of chaotic order
Erschienen in: Journal of Inequalities and Applications | Ausgabe 1/2006
EinloggenAktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
The chaotic order
among positive invertible operators
on a Hilbert space is introduced by
. Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that
if and only if
holds for any
, where
is any fixed positive number. On the other hand, for any fixed
, we also show that there exist positive invertible operators
,
such that
holds for any
, but
is not valid.
among positive invertible operators
on a Hilbert space is introduced by
. Using Uchiyama's method and Furuta's Kantorovich-type inequality, we will point out that
if and only if
holds for any
, where
is any fixed positive number. On the other hand, for any fixed
, we also show that there exist positive invertible operators
,
such that
holds for any
, but
is not valid.