B. Eidt

activity

20192026

collaborators

6 papers

math.FA2026

Universal operators: topology and consequences of ISP failure

João Carmo, Ben-Hur Eidt, Waleed Noor

Assuming a negative answer to the invariant subspace problem for separable complex Hilbert spaces, we prove that every universal operator has a continuum of minimal infinite-dimens…

math.DS2026

Shadowing phenomenon for composition operators on the Hardy space $H^{2} (D)$

Artur Blois, Ben-Hur Eidt, Paulo Lupatini +1

Let $ϕ$ be a holomorphic self-map of the open unit disk $D .$ In this article, we study the shadowing phenomenon for composition operators $C_{ϕ} f = f \circ ϕ$ on the Hardy spac…

math.OA2025

Relative ultragraph algebras and infinite interval maps

Ben-Hur Eidt, Daniel Gonçalves, Danilo Royer

In this paper, we introduce the notion of relative ultragraph algebras and extend classical injectivity criteria for representations, particularly those arising from branching syst…

math.FA2024

Beurling and Model subspaces invariant under a universal operator

Ben Hur Eidt, S. Waleed Noor, Waleed Noor

We classify the Beurling and model subspaces of the Hardy space $H^{2} (D)$ that are invariant under the composition operators $C_{ϕ_{a}}$ , where $ϕ_{a} (z) = a z + 1 - a$ and $0 < a < 1$ . Th…

math.FA2023

Minimal invariant subspaces for an affine composition operator

João R. Carmo, Ben Hur Eidt, S. Waleed Noor

The composition operator $C_{ϕ_{a}} f = f \circ ϕ_{a}$ on the Hardy-Hilbert space $H^{2} (D)$ with affine symbol $ϕ_{a} (z) = a z + 1 - a$ and $0 < a < 1$ has the property that the Invariant Subspa…

math.OA2019

Representations of C*-algebras of row-countable graphs and unitary equivalence

Ben hur Eidt, Danilo Royer

In this article we show that there are branching systems (which induce representations of the graph algebra $C^{*} (E)$ ) associated to each row-countable graph $E$ . For row-countable…