most citedConstructing Invariant Subspaces as Kernels of Commuting Matrices

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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…