Hiroyasu Hamada

activity

20082021

most citedToeplitz-composition C*-algebras for certain finite Blaschke products

2 citations · 4 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.OA2021

C*-algebras generated by multiplication operators and composition operators with self-similar maps

Hiroyasu Hamada

Let $K$ be a compact metric space and let $γ = (γ_{1}, \dots, γ_{n})$ be a system of proper contractions on $K$ . We study a C*-algebra $MC_{γ_{1}, \dots, γ_{n}}$ generated by all…

math.OA2021

C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches II

Hiroyasu Hamada

Let $K$ be a compact metric space and let $φ : K \to K$ be continuous. We study a C*-algebra $MC_{φ}$ generated by all multiplication operators by continuous functions on $K…

math.OA2019

C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches

Hiroyasu Hamada

Let $K$ be a compact metric space and let $φ : K \to K$ be continuous. We study C*-algebra $MC_{φ}$ generated by all multiplication operators by continuous functions on $K$ …

math.OA2015

C*-algebras generated by multiplication operators and composition operators with rational symbol

Hiroyasu Hamada

Let $R$ be a rational function of degree at least two, let $J_{R}$ be the Julia set of $R$ and let $μ^{L}$ be the Lyubich measure of $R$ . We study the C $^{*}$ -algebra $MC_{R}$ ge…

math.OA2011★ 2 cited

Quotient algebras of Toeplitz-composition C*-algebras for finite Blaschke products

Hiroyasu Hamada

Let R be a finite Blaschke product. We study the C*-algebra TC_R generated by both the composition operator C_R and the Toeplitz operator T_z on the Hardy space. We show that the s…

math.OA2008★ 2 cited

Toeplitz-composition C*-algebras for certain finite Blaschke products

Hiroyasu Hamada, Yasuo Watatani

Let R be a finite Blaschke product of degree at least two with R(0)=0. Then there exists a relation between the associated composition operator C_R on the Hardy space and the C*-al…