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
Predmet:	noncommutative function spaces noncommutative lorentz spaces noncommutative marcinkiewicz spaces
ISSN:	2544-9990, 2544-9990
On-line prístup:	Získať plný text
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Popis
Shrnutí:	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:	2544-9990 2544-9990
DOI:	10.62780/ejaam/2025-002