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We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fréchet bundles and the compatibility with the different morphisms. This kind of structures seems to be a convenient framework for various situations.
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Patrick Cabau, Strong projective limit of Banach Lie algebroids. Port. Math. 69 (2012), no. 1, pp. 1–21DOI 10.4171/PM/1902