T. Hayashi

most citedA characterization of The operator-valued triangle equality

9 citations · 9 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2008★ 4 cited

Non-commutative A-G mean inequality

Tomohiro Hayashi

In this paper we consider non-commutative analogue for the arithmeticgeometric mean inequality $a^{r} b^{1 - r} + (r - 1) b \geq r a$ for two positive numbers $a, b$ and $r > 1$ . We show tha…

math.OA2005★ 9 cited

A characterization of The operator-valued triangle equality

Tsuyoshi Ando, Tomohiro Hayashi

We will show that for any two bounded linear operators $X, Y$ on a Hilbert space $H$ , if they satisfy the triangle equality $∣ X + Y ∣ = ∣ X ∣ + ∣ Y ∣$ , there exists a partial isometry…

math.OA2005

On cocycle actions of non-commutative Bernoulli shifts

Tomohiro Hayashi

This paper has been withdrawn by the author.