RT Journal Article
T1 Strictly singular embeddings in L 1 +L ∞
A1 Sánchez de los Reyes, Víctor Manuel
A1 Semenov, Evgeny M.
A1 Hernández, Francisco L.
AB The paper deals with the strict singularity and the disjoint strict singularity of the canonical embeddingbetween couples of rearrangement invariant spaces E and F. Let E c F. This embedding is called strictly singular (disjointly strictly singular) if for any infinite-dimensional subspace (any infinite-dimensional subspace generated by a sequence of disjoint functions) B of E the norms of E and F are non-equivalent on B. Denote by Lp,1 (1 < p < 1) the space of all measurable functions x(t) on (0,1) such that kxkLp,1 = sup s>0 s1/p−1 Z s 0 x(t) dt <1.
PB Interperiodica
SN 1064-5624
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50346
UL https://hdl.handle.net/20.500.14352/50346
DS Docta Complutense
RD 8 abr 2025