Publication:
On Isomorphic Embeddings in the Class of Disjointly Homogeneous Rearrangement Invariant Spaces

Simple item page
dc.contributor.authorAstashkin, Sergey V.
dc.contributor.institutionAstashkin, Sergey V., Samara National Research University, Samara, Russian Federation, Lomonosov Moscow State University, Moscow, Russian Federation, Moscow Center of Fundamental and Applied Mathematics, Moscow, Russian Federation, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.date.accessioned2025-10-05T14:47:35Z
dc.date.issued2024
dc.description.abstractThe equivalence of the Haar system in a rearrangementinvariant space on and a sequence of pairwise disjoint functionsin some Lorentz space is known to imply that up to the equivalence ofnorms. We show that the same holds for the class of uniformdisjointly homogeneous rearrangement invariant spaces and obtain a fewconsequences for the properties of isomorphic embeddings of such spaces.In particular, the space with is theonly uniform -disjointly homogeneous rearrangement invariant space on with nontrivial Boyd indices which has two rearrangement invariant representationson the half-axis. © 2024 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1134/S0037446624030017
dc.identifier.endpage513
dc.identifier.issn00374466
dc.identifier.issn15739260
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85195146536
dc.identifier.startpage505
dc.identifier.urihttps://doi.org/10.1134/S0037446624030017
dc.identifier.urihttps://hdl.handle.net/20.500.14719/7195
dc.identifier.volume65
dc.language.isoen
dc.publisherPleiades Publishing
dc.relation.sourceSiberian Mathematical Journal
dc.subject.authorkeywords-disjointly Homogeneous Space
dc.subject.authorkeywords517.982.22
dc.subject.authorkeywordsDisjoint Functions
dc.subject.authorkeywordsDisjointly Homogeneous Space
dc.subject.authorkeywordsIsomorphism
dc.subject.authorkeywordsLorentz Space
dc.subject.authorkeywordsOrlicz Space
dc.subject.authorkeywordsRearrangement Invariant Space
dc.titleOn Isomorphic Embeddings in the Class of Disjointly Homogeneous Rearrangement Invariant Spaces
dc.typeArticle
dcterms.referencesMem Amer Math Soc, (1979), Woo, Joseph Y.T., On a class of universal modular sequence spaces, Israel Journal of Mathematics, 20, 3-4, pp. 193-215, (1975), Classical Banach Spaces I, (1977), Lindenstrauss, Joram L., On orlicz sequence spaces III, Israel Journal of Mathematics, 14, 4, pp. 368-389, (1973), Carothers, Neal L., Rearrangement invariant subspaces of Lorentz function spaces, Israel Journal of Mathematics, 40, 3-4, pp. 217-228, (1981), Carothers, Neal L., Rearrangement invariant subspaces of Lorentz function spaces II, Rocky Mountain Journal of Mathematics, 17, 3, pp. 607-616, (1987), Mem Amer Math Soc, (1993), Tzafriri, Lior A., Chapter 38 Uniqueness of structure in banach spaces, Handbook of the Geometry of Banach Spaces, 2, pp. 1635-1669, (2003), Astashkin, Sergey V., Some remarks about disjointly homogeneous symmetric spaces, Revista Matematica Complutense, 32, 3, pp. 823-835, (2019), Interpolation of Linear Operators, (1978)
dspace.entity.typePublication
local.indexed.atScopus
person.identifier.scopus-author-id6603549839

Files

Collections

Scopus İndeksli Yayınlar Koleksiyonu