On Maslov regularizability of discontinuous mappings

E. N. Domanskii

Izvestiya. Mathematics , Tome 42 (1994) no. 1, pp. 27-49.

Résumé

The concept of a Maslov regularizing algorithm (MRA) is introduced in this paper for an arbitrary mapping $f\colon D(f)\subset X\to Y$ acting in metric spaces $X$ and $Y$, with domain $D(f)$. A necessary condition and a sufficient condition are given for there to be a continuous MRA for $f$. In the case of a separable Banach space $Y$ the set of such mappings is confined to $B$-measurable mappings of first class defined on $F_{\sigma\delta}$-sets.

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