Complete metric in the space of discontinuous functions

Rimas Banys

doi:10.15388/LMR.2000.35070

Articles

Rimas Banys

Vilnius Gediminas Technical University

Published 2000-12-18

https://doi.org/10.15388/LMR.2000.35070

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Banys, R. (2000) “Complete metric in the space of discontinuous functions”, Lietuvos matematikos rinkinys, 40(spec.), pp. 93–96. doi:10.15388/LMR.2000.35070.

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Abstract

Complete metrics in the subspaces D_α, α > 0 of D[0, 1] which were introduced in [2] are given. These metrics are equivalent to the metrics d_α defined in [2] and are stronger than the wellknown metric d in D[0,1] given in [1].

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