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    Translation-invariant generalized topologies induced by probabilistic norms

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    Translation Invariant.pdf (3.302Mb)
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    URI: http://hdl.handle.net/10835/2762
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    Author/s
    Lafuerza Guillén, Bernardo; Rodríguez Blancas, José Luis
    Date
    2008-07-04
    Abstract
    One considers probabilistic normed spaces as defined by Alsina,Schweizer and Sklar, but with non necessarily continuous triangle functions. Such spaces are endowed with a generalized topology that is Fréchet-separated, translation-invariant and countably generated by radial and circled 0-neighborhoods. Conversely, we show that such generalized topologies are probabilistically normable.
    Palabra/s clave
    Mathematics
    Probabilistic Normed Spaces
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    • Artículos de revista Dpto. Matemáticas [118]

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