Weakly compact embedding of non-commutative symmetric spaces

In this paper, we prove that the embeddings of certain well-known symmetric spaces are weakly compact. Our main results concern noncommutative Lorentz and Marcinkiewicz spaces on finite von Neumann algebras.

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Vydané v:E-journal of analysis and applied mathematics Ročník 2025; s. 9 - 16
Hlavný autor: Sadovskaya, Olga S.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: EJAAM 15.07.2025
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ISSN:2544-9990, 2544-9990
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Abstract In this paper, we prove that the embeddings of certain well-known symmetric spaces are weakly compact. Our main results concern noncommutative Lorentz and Marcinkiewicz spaces on finite von Neumann algebras.
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Author Sadovskaya, Olga S.
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Snippet In this paper, we prove that the embeddings of certain well-known symmetric spaces are weakly compact. Our main results concern noncommutative Lorentz and...
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SubjectTerms noncommutative function spaces
noncommutative lorentz spaces
noncommutative marcinkiewicz spaces
Title Weakly compact embedding of non-commutative symmetric spaces
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