Symmetric finite representability of LP-spaces in rearrangement invariant spaces on [0,1]

被引：0

作者：

Astashkin, Sergey V. ^{[1
,2
]}

Curbera, Guillermo P. ^{[3
,4
]}

机构：

[1] Samara Natl Res Univ, Dept Math, Moskovskoye Shosse 34, Samara 443086, Russia

[2] Bahcesehir Univ, Dept Math, TR-34353 Istanbul, Turkiye

[3] Univ Seville, Fac Matemat, Calle Tarfia S-N, Seville 41012, Spain

[4] Univ Seville, IMUS, Calle Tarfia S-N, Seville 41012, Spain

来源：

REVISTA MATEMATICA COMPLUTENSE | 2024年 / 37卷 / 02期

关键词：

L-p; Finite representability; Banach lattice; Rearrangement invariant space; Dilation operator; Shift operator; Boyd indices; Orlicz space; Lorentz space; BANACH; INDEXES;

D O I：

10.1007/s13163-023-00464-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a separable rearrangement invariant space X on [0, 1] of fundamental type we identify the set of all p ? [1, 8] such that L-p is finitely represented in X in such a way that the unit basis vectors of L-p (c(0) if p = oo) correspond to pairwise disjoint and equimeasurable functions. This can be treated as a follow up of a paper by the first-named author related to separable rearrangement invariant spaces on (0, 8).

引用

页码：413 / 434

页数：22

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