Creswell, Sam A continuous linear bijection from \(\ell^2\) onto a dense subset of \(\ell^2\) whose inverse is everywhere unboundedly discontinuous. (English) Zbl 1294.46021 Missouri J. Math. Sci. 25, No. 2, 213-214 (2013). MSC: 46B99 PDFBibTeX XMLCite \textit{S. Creswell}, Missouri J. Math. Sci. 25, No. 2, 213--214 (2013; Zbl 1294.46021) Full Text: Euclid
Creswell, Sam H. 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 \(\ell^2\). (English) Zbl 1235.46031 Missouri J. Math. Sci. 23, No. 1, 12-18 (2011). MSC: 46C05 46B20 PDFBibTeX XMLCite \textit{S. H. Creswell}, Missouri J. Math. Sci. 23, No. 1, 12--18 (2011; Zbl 1235.46031)
Creswell, Sam H. Uncountably many mutually disjoint, simply connected, contractible and Fréchet differentiable subsets of the sphere in \(\ell^2\), each of which is dense in the sphere. (English) Zbl 1207.46016 Missouri J. Math. Sci. 22, No. 1, 3-9 (2010). MSC: 46B20 46C05 54G99 PDFBibTeX XMLCite \textit{S. H. Creswell}, Missouri J. Math. Sci. 22, No. 1, 3--9 (2010; Zbl 1207.46016)