Non-separable Banach spaces with non-meager Hamel basis

Taras Banakh, Mirna Džamonja, Lorenz Halbeisen

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    Abstract

    We show that an infinite-dimensional complete linear space X has: · a dense hereditarily Baire Hamel basis if |X|=c+; · a dense non-meager Hamel basis if |X|=??=2? for some cardinal ?.
    Original languageEnglish
    Pages (from-to)27-34
    Number of pages8
    JournalStudia Mathematica
    Volume189
    Issue number1
    DOIs
    Publication statusPublished - 2008

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