Work

Mutually non isomorphic mixed-norm Lebesgue spaces

Year: 2026

Type: article

Abstract: We prove that for 1 ≤ p , q ≤ ∞ the mixed-norm spaces L q ( L p ) are mutually non-isomorphic, with the only exception that L q ( L 2 ) is isomorphic to L q ( L q ) for all 1 < q < ∞ .

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2026.111384

Authors: José L. Ansorena, Glenier Bello

Institutions: Universidad de La Rioja, Universidad de Zaragoza, Instituto Universitario de Matemáticas y Aplicaciones

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

Funders: Ministerio de Ciencia, Innovación y Universidades, Ministerio de Ciencia e Innovación

Awards: G7154750558, G7783573040

OpenAlex ID: W7127563118

FWCI:

Cites: 25

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