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Weakly compact embedding of non-commutative symmetric spaces

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Název:	Weakly compact embedding of non-commutative symmetric spaces
Autoři:	Olga S. Sadovskaya
Zdroj:	E-Journal of Analysis and Applied Mathematics, Vol 2025, Pp 9-16 (2025)
Informace o vydavateli:	e-Journal of Analysis and Applied Mathematics, 2025.
Rok vydání:	2025
Témata:	noncommutative function spaces, noncommutative lorentz spaces, QA299.6-433, T57-57.97, Applied mathematics. Quantitative methods, noncommutative marcinkiewicz spaces, Analysis
Popis:	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.
Druh dokumentu:	Article
ISSN:	2544-9990
DOI:	10.62780/ejaam/2025-002
Přístupové číslo:	edsair.doi.dedup.....17d58f9f884ef7c9efed9badac65326d
Databáze:	OpenAIRE

Popis
Abstrakt:	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.
ISSN:	25449990
DOI:	10.62780/ejaam/2025-002