Hernandez, F. L.; Novikov, S. Ya.; Semenov, E. M. Strictly singular embeddings between rearrangement invariant spaces. (English) Zbl 1041.46022 Positivity 7, No. 1-2, 119-124 (2003). The main result of the present paper, namely: “The canonical embedding of a rearrangement-invariant Banach space \(E\) into \(L_{1}\) is not strictly singular if and only if \(E\supset G\), where \(G\) denotes the closure of \(L_{\infty}\) in the Orlicz space \(L_{M}\), generated by the Orlicz function \(M(u)=\exp\left( u^{2}\right) -1\)” was obtained much earlier by the reviewer; see E. V. Tokarev, Usp. Mat. Nauk 40, 221–222 (1985; Zbl 0589.46021), Theorem 4. Reviewer: Eugene Tokarev (Kharkiv) Cited in 1 ReviewCited in 11 Documents MSC: 46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) Keywords:symmetric Banach spaces; rearrangement-invariant Banach space Citations:Zbl 0589.46021 PDFBibTeX XMLCite \textit{F. L. Hernandez} et al., Positivity 7, No. 1--2, 119--124 (2003; Zbl 1041.46022) Full Text: DOI