Clayton Suguio Hida

activity

20162023

collaborators

4 papers

math.OA2023

C-convexity and C-Polyhedron

Clayton Suguio Hida

A polyhedron in a Banach space is a family of points $X$ such that for every $x \in X$ , there is a closed convex set $C$ such that $a \in / C$ and $\mathcal{X}\s…

math.OA2020

Uncountable almost irredundant sets in nonseparable C*-algebras

Clayton Suguio Hida

In this article, we consider the notion of almost irredundant sets: A subset $X$ of a C*-algebra $A$ is called almost irredundant if and only if for every $a\in…

math.OA2018

Large irredundant sets in operator algebras

Clayton Suguio Hida, Piotr Koszmider

A subset $X$ of a C*-algebra $A$ is called irredundant if no $A \in X$ belongs to the C*-subalgebra of $A$ generated by $\mathcal X\setminus \{A\…

math.FA2016

Two Cardinal Inequalities about Bidiscrete Systems

Clayton Suguio Hida

We consider the cardinal invariant $b d$ defined by M. Džamonja and I. Juhász concerning bidiscrete systems. Using the relation between bidiscrete systems and irredundance for a com…

C*-convexity and C*-Polyhedron

Uncountable almost irredundant sets in nonseparable C*-algebras

Large irredundant sets in operator algebras

Two Cardinal Inequalities about Bidiscrete Systems

C-convexity and C-Polyhedron