Nonmeasurability in Banach spaces
classification
🧮 math.GN
math.LO
keywords
banachresultsbasiscardinalitydefinedgeneralizehamelideal
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We show that for a $\sigma $-ideal $\ci$ with a Steinhaus property defined on Banach space, if two non-homeomorphic Banach with the same cardinality of the Hamel basis then there is a $\ci$ nonmeasurable subset as image by any isomorphism between of them. Our results generalize results from [2]
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