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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Factorization of diagonally dominant operators on $ L\sb 1([0,1],X)$


Authors: Kevin T. Andrews and Joseph D. Ward
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
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1985-0800263-0
Keywords: Diagonally dominant, triangular, invertible
Article copyright: © Copyright 1985 American Mathematical Society