Abstract
In a prior paper [1] we showed that there is a nonlinear, continuous, dense bijection from $\ell^{2}$ onto a subset of $\ell^{2}$ whose inverse is everywhere unboundedly discontinuous. We now show that there is a linear, continuous, dense bijection whose inverse is everywhere unboundedly discontinuous.
Citation
Sam Creswell. "A Continuous Linear Bijection from $\ell^2$ Onto a Dense Subset of $\ell^2$ Whose Inverse is Everywhere Unboundedly Discontinuous." Missouri J. Math. Sci. 25 (2) 213 - 214, November 2013. https://doi.org/10.35834/mjms/1384266205
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