Translation-invariant generalized topologies induced by probabilistic norms

Authors

  • Bernardo Lafuerza-Guillen
  • Jose L. Rodrıguez-Blancas

DOI:

https://doi.org/10.1285/i15900932v29n1p157

Keywords:

46S50, 54E70

Abstract

En
One considers probabilistic normed spaces as defined by Alsina, Sklar, and Schweizer, but with non necessarily continuous triangle functions. Such spaces are endowed with a generalized opology that is Fr´echet-separated, translation-invariant and countably generated by radial and circled 0-neighborhoods. Conversely, we show that such generalized topologies are probabilistically normable

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Published

01-04-2009

Issue

Volume 29, Issue 1 (2009)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode