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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Bibliographic Details
Published in:	E-journal of analysis and applied mathematics Vol. 2025; pp. 9 - 16
Main Author:	Sadovskaya, Olga S.
Format:	Journal Article
Language:	English
Published:	EJAAM 15.07.2025
Subjects:	noncommutative function spaces noncommutative lorentz spaces noncommutative marcinkiewicz spaces
ISSN:	2544-9990, 2544-9990
Online Access:	Get full text
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Description
Summary:	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