2 papers
math.OA2003
Monotone operator functions on -algebra
Hiroyuki Osaka, Sergei D. Silvestrov, Jun Tomiyama
The article is devoted to investigation of classes of functions monotone as functions on general -algebras that are not necessarily the -algebras of all bounded linear op…
math.OA2002
Gaps between classes of matrix monotone functions
Frank Hansen, Guoxing Ji, Jun Tomiyama
We prove the existence of gaps between all the different classes of matrix monotone functions defined on an interval, provided the interval is non trivial and different from the wh…