A continuous bijection from \(\ell^2\) onto a subset of \(\ell^2\) whose inverse is everywhere unboundedly discontinuous, with an application to packing of balls in \(\ell^2\)

zbMath1235.46031MaRDI QIDQ717667

Sam H. Creswell

Publication date: 5 October 2011

Published in: Missouri Journal of Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

continuous bijection from \(\ell^2\)unboundedly discontinuous

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20)

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A continuous linear bijection from \(\ell^2\) onto a dense subset of \(\ell^2\) whose inverse is everywhere unboundedly discontinuous

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