94 citations · 102 across the 9 of their papers we have counts for
9 papers
On the Ando-Hiai property for spectral geometric means
Yuki Seo, Shuhei Wada, Takeaki Yamazaki
In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover,…
Limit of iteration of the induced Aluthge transformations of centered operators
Hiroyuki Osaka, Takeaki Yamazaki
Aluthge transform is a well-known mapping defined on bounded linear operators. Especially, the convergence property of its iteration has been studied by many authors. In this paper…
Joint numerical radius of spherical Aluthge transforms of tuples of Hilbert space operators
Kais Feki, Takeaki Yamazaki
Let be a -tuple of operators on a complex Hilbert space . The spherical Aluthge transform of is the -tuple given by $\…
A generalization of the Aluthge transformation in the viewpoint of operator means
Takeaki Yamazaki
The Aluthge transformation is generalized in the viewpoint of the axiom of operator means by using double operator integrals. It includes the mean transformation which is defined b…
An integral representation of operator means via the power means and an application to the Ando-Hiai inequality
Takeaki Yamazaki
An integral representation of an operator mean via the power means is obtained. As an application, we shall give explicit condition of operator means that the Ando-Hiai inequality…
The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results
Takeaki Yamazaki
In this paper, we shall give a concrete relation between the generalized Karcher equation and operator means as its solution. Next, we shall show two types of the Ando-Hiai inequal…
Cartesian decomposition and Numerical radius inequalities
Fuad Kittaneh, Mohammad Sal Moslehian, Takeaki Yamazaki
We show that if is the Cartesian decomposition of , then for , . We then apply…
Equivalence relations among some inequalities on operator means
Shuhei Wada, Takeaki Yamazaki
We will consider about some inequalities on operator means for more than three operators, for instance, ALM and BMP geometric means will be considered. Moreover, log-Euclidean and…
Some generalized numerical radius inequalities for Hilbert space operators
Mostafa Sattari, Mohammad Sal Moslehian, Takeaki Yamazaki
We generalize several inequalities involving powers of the numerical radius for product of two operators acting on a Hilbert space. For any suc…