Yost, David \(L_ 1\) contains every two-dimensional normed space. (English) Zbl 0679.46016 Ann. Pol. Math. 49, No. 1, 17-19 (1988). Quite elementary proofs of the following two facts are given:(1) every 2-dimensional (real) normed space embeds linearly and isometrically in \(L_ 1(0,1);\) (2) \(\ell_{\infty}(3)\) is not isometric to any subset of \(L_ 1(0,1)\). Reviewer: S.V.Kislyakov Cited in 8 Documents MSC: 46B25 Classical Banach spaces in the general theory Keywords:isometric imbeddings PDFBibTeX XMLCite \textit{D. Yost}, Ann. Pol. Math. 49, No. 1, 17--19 (1988; Zbl 0679.46016) Full Text: DOI