Factoring weakly compact operators and the inhomogeneous Cauchy problem

Bárcenas, Diómedes

doi:10.1090/S0002-9939-99-05127-8

Factoring weakly compact operators and the inhomogeneous Cauchy problem
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by Diómedes Bárcenas

Proc. Amer. Math. Soc. 128 (2000), 1357-1360

DOI: https://doi.org/10.1090/S0002-9939-99-05127-8

Published electronically: October 18, 1999

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Abstract:

By using the technique of factoring weakly compact operators through reflexive Banach spaces we prove that a class of ordinary differential equations with Lipschitz continuous perturbations has a strong solution when the problem is governed by a closed linear operator generating a strongly continuous semigroup of compact operators.

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