14 citations · 33 across the 32 of their papers we have counts for
32 papers
Operators induced by certain hypercomplex systems
Daniel Alpay, Ilwoo Cho
In this paper, we consider natural Hilbert-space representations of the hypercomplex system $\left\{ \mathbb{H…
Matricial Rrepresentations of Certain Finitely Presented Groups Generated By Order-2 Generator and their Applications
Ryan Golden, Ilwoo Cho
In this paper, we study matricial representations of certain finitely presented groups with N-generators of order-2. As an application, we consider a group algebra under our repres…
On Symmetric Polynomials
Ryan Golden, Ilwoo Cho
In this paper, we study structure theorems of algebras of symmetric functions. Based on a certain relation on elementary symmetric polynomials generating such algebras, we consider…
Operators Induced by Graphs
Ilwoo Cho, Palle E. T. Jorgensen
In this paper, we consider certain elements in von Neumann algebras generated by graph groupoids. In particular, we are interested in finitely supported elements, called graph oper…
Toeplitz Operators in Hilbert Space over Graphs
Ilwoo Cho, Palle E. T. Jorgensen
In this paper, we consider the relation between Toeplitz operators and elements in von Neumann algebras generated by certain graph groupoids.
Classification of Graph Fractaloids
Ilwoo Cho, Palle E. T. Jorgensen
In this paper, we observe graph fractaloids, which are the graph groupoids with fractal property. In particular, we classify them in terms of the spectral data of certain Hilbert s…