WEAK GROTHENDIECK COMPACTNESS PRINCIPLE FOR SYMMETRIC SPACES


Matin D. Nessipbayev Y. Sukochev F. Zanin D.
2024Mathematical Sciences Publishers

Pacific Journal of Mathematics
2024#333Issue 1127 - 154 pp.

We strengthen and simplify the weak Grothendieck compactness principle for symmetric sequence spaces, and extend it to both symmetric function spaces and noncommutative symmetric spaces of measurable operators.

functions , Grothendieck compactness principle , operators , symmetric spaces of sequences , weak compactness

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DEPARTMENT OF MATHEMATICS AND MECHANICS, L. N. GUMILYOV EURASIAN NATIONAL UNIVERSITY, ASTANA, Kazakhstan
SCHOOL OF MATHEMATICS AND STATISTICS, UNIVERSITY OF NEW SOUTH WALES, SYDNEY, Australia
INSTITUTE OF MATHEMATICS AND MATHEMATICAL MODELING, ALMATY, Kazakhstan

DEPARTMENT OF MATHEMATICS AND MECHANICS
SCHOOL OF MATHEMATICS AND STATISTICS
INSTITUTE OF MATHEMATICS AND MATHEMATICAL MODELING

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