A Korovkin-type theorem in locally convex spaces

Flösser, Hans-O.

doi:10.1090/S0002-9939-1978-0509234-7

A Korovkin-type theorem in locally convex spaces
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by Hans-O. Flösser

Proc. Amer. Math. Soc. 72 (1978), 456-460

DOI: https://doi.org/10.1090/S0002-9939-1978-0509234-7

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Abstract:

Let E be a locally convex M-space, $\emptyset \ne M$ a subset. The universal Korovkin-closure of M as well as the sequentially or stationary defined Korovkin-closures coincide with the space of M-harmonic elements and with the uniqueness closure of M.

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