A Continuous Bijection from ℓ² onto a Subset of ℓ² Whose Inverse Is Everywhere Discontinuous

DOI10.4169/000298910X521698zbMath1214.46014WikidataQ58265896 ScholiaQ58265896MaRDI QIDQ3061291

Sam H. Creswell

Publication date: 14 December 2010

Published in: The American Mathematical Monthly (Search for Journal in Brave)

zbMATH Keywords

\(\ell^2\) spacecontinuous bijection mapdiscontinuous everywhere inverse

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Continuous maps (54C05) Inner product spaces and their generalizations, Hilbert spaces (46C99)

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Spaceability of the set of continuous injections from \(B_{\ell_p}\) into \(\ell_p\) with nowhere continuous inverses

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