most citedConstructing Invariant Subspaces as Kernels of Commuting Matrices

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

collaborators

3 papers

math.CV2023

Harmonic Functions on Four Dimensions

William Johnston, Sara Moore, Rebecca G. Wahl

This paper develops theory for a newly-defined bicomplex hyperbolic harmonic function with four real-dimensional inputs, in a way that generalizes the connection between real harmo…

math.FA2023★ 1 cited

Constructing Invariant Subspaces as Kernels of Commuting Matrices

Carl C. Cowen, William Johnston, Rebecca G. Wahl

Given an n by n matrix A over the complex numbers and an invariant subspace L, this paper gives a straightforward formula to construct an n by n matrix N that commutes with A and h…

math.FA2023★ 1 cited

Bicomplex Matrices and Operators: Jordan Forms, Invariant Subspace Lattice Diagrams, and Compact Operators

William Johnston, Rebecca G. Wahl

This paper extends topics in linear algebra and operator theory for linear transformations on complex vector spaces to those on bicomplex Hilbert and Banach spaces. For example, De…