Connected Hamel bases in Hilbert spaces

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arxiv 2402.07678 v1 pith:LCQQRBMI submitted 2024-02-12 math.FA

Gerald Kuba This is my paper · ORCID

classification math.FA

keywords connectedhilbertalgebraicbasesbasisdowngoalhamel

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abstract

Our main goal is to track down an algebraic basis of Hilbert space $\ell^2$ which is a connected and locally connected subset of the unit sphere.

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