Factorization of diagonally dominant operators on 𝐿₁([0,1],𝑋)

Andrews, Kevin T.; Ward, Joseph D.

doi:10.1090/S0002-9947-1985-0800263-0

Factorization of diagonally dominant operators on $L_ 1([0,1],X)$
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by Kevin T. Andrews and Joseph D. Ward PDF

Trans. Amer. Math. Soc. 291 (1985), 789-800 Request permission

Abstract:

Let $X$ be a separable Banach space. It is shown that every diagonally dominant invertible operator on ${L_1}([0, 1], X)$ can be factored uniquely as a product of an invertible upper triangular operator and an invertible unit lower triangular operator.

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