A Family of Almost Invertible Infinite Matrices
Rings and Algebras
2019-10-18 v2
Abstract
An algebraic analogue of the family of Fredholm operators is introduced for the family of row and column finite matrices, dubbed "Fredholm matrices." In addition, a measure is introduced which indicates how far a Fredholm matrix is from an invertible matrix. It is further shown that this measure respects multiplication, is invariant under perturbation by a matrix from , and is invariant under conjugation by an invertible row and column finite matrix.
Keywords
Cite
@article{arxiv.1909.04007,
title = {A Family of Almost Invertible Infinite Matrices},
author = {Daniel P. Bossaller},
journal= {arXiv preprint arXiv:1909.04007},
year = {2019}
}
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8 Pages