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math.FA2026
Life without "Choice"
M. A. Sofi
We propose an AC-independent proof of the existence of a non-measurable set as a consequence of the Hahn-Banach theorem of functional analysis which is known to be strictly weaker…
math.FA2026
Implications of an affirmative solution to the Lindenstrauss Problem
M. A. Sofi
The question regarding the location of Banach spaces inside their biduals has been investigated and answered reasonably satisfactorily in the linear theory of Banach spaces. Thus,…