Subprojective Nakano spaces
Copyright policy )Subprojective Nakano spaces
Recall that a Banach space \(X\) is said to be subprojective if every infinite-dimensional subspace of \(X\) has an infinite-dimensional subspace which is complemented in \(X\). The authors prove that separable Nakano sequence spaces \(\ell_{(p_{n})}\) are subprojective. Moreover, by using the results of \textit{F. L. Hernández} and \textit{C. Ruiz} [J. Math. Anal. Appl. 389, No. 2, 899--907 (2012; Zbl 1257.46012)] on subspaces of separable Nakano function spaces, they show that \(L^{p(\cdot)}\) is subprojective if and only if it does not contain a subspace isomorphic to \(l_{q}\) with \(q<2\).
Isomorphic theory (including renorming) of Banach spaces, Nakano space, subprojectivity, Banach sequence spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
Isomorphic theory (including renorming) of Banach spaces, Nakano space, subprojectivity, Banach sequence spaces, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).4 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!