## 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.## References

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## Additional Information

- © Copyright 1985 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**291**(1985), 789-800 - MSC: Primary 47B38; Secondary 46E40, 47A68
- DOI: https://doi.org/10.1090/S0002-9947-1985-0800263-0
- MathSciNet review: 800263