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

Publication date: 23 December 2013

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

Full work available at URL: https://projecteuclid.org/euclid.mjms/1384266205

zbMATH Keywords

continuous \(\ell^2\)dense everywhere unboundedly discontinuous linear bijection

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99)

Cites Work

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 \(\ell^2\)

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