Isomorphic classification of Lp,q-spaces, II

Jinghao Huang; Fedor Sukochev

doi:10.1016/j.jfa.2021.108994

Isomorphic classification of L_p,q-spaces, II

Jinghao Huang^*
, Fedor Sukochev

^*Corresponding author for this work

University of New South Wales
North Ossetian State University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

This is a continuation of the papers [36] and [54], in which the isomorphic classification of L_p,q, for 1<p<∞, 1≤q<∞, p≠q, on resonant measure spaces, has been obtained. The aim of this paper is to give a complete isomorphic classification of L_p,q-spaces on general σ-finite measure spaces. Towards this end, several new subspaces of L_p,q(0,1) and L_p,q(0,∞) are identified and studied.

Original language	English
Article number	108994
Journal	Journal of Functional Analysis
Volume	280
Issue number	12
DOIs	https://doi.org/10.1016/j.jfa.2021.108994
State	Published - 15 Jun 2021
Externally published	Yes

Keywords

Isomorphic embedding
L-spaces
σ-finite measure spaces

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10.1016/j.jfa.2021.108994

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title = "Isomorphic classification of Lp,q-spaces, II",

abstract = "This is a continuation of the papers [36] and [54], in which the isomorphic classification of Lp,q, for 1p,q-spaces on general σ-finite measure spaces. Towards this end, several new subspaces of Lp,q(0,1) and Lp,q(0,∞) are identified and studied.",

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AU - Huang, Jinghao

AU - Sukochev, Fedor

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Y1 - 2021/6/15

N2 - This is a continuation of the papers [36] and [54], in which the isomorphic classification of Lp,q, for 1p,q-spaces on general σ-finite measure spaces. Towards this end, several new subspaces of Lp,q(0,1) and Lp,q(0,∞) are identified and studied.

AB - This is a continuation of the papers [36] and [54], in which the isomorphic classification of Lp,q, for 1p,q-spaces on general σ-finite measure spaces. Towards this end, several new subspaces of Lp,q(0,1) and Lp,q(0,∞) are identified and studied.

KW - Isomorphic embedding

KW - L-spaces

KW - σ-finite measure spaces

UR - https://www.scopus.com/pages/publications/85102623522

U2 - 10.1016/j.jfa.2021.108994

DO - 10.1016/j.jfa.2021.108994

M3 - 文章

AN - SCOPUS:85102623522

SN - 0022-1236

VL - 280

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 12

M1 - 108994

ER -

Isomorphic classification of L_p,q-spaces, II

Abstract

Keywords

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