The generalized Banach sequence spaces and their dual spaces based on permutation symmetric gauge norms

DOI10.1080/03081087.2022.2094867zbMath1530.46017WikidataQ114100544 ScholiaQ114100544MaRDI QIDQ6115887

Ye Zhang, Unnamed Author, Yan-Ni Chen

Publication date: 10 August 2023

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

zbMATH Keywords

sequence spacecompletenessdual spaceHölder's inequalitypermutation symmetric gauge norm

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Functional analytic methods in summability (40H05)

Cites Work

• Spaceability in Banach and quasi-Banach sequence spaces
• Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property
• Duality for symmetric Hardy spaces of noncommutative martingales
• Generalized difference sequence spaces and their dual spaces
• Orlicz sequence spaces spanned by identically distributed independent random variables in \(L_p\)-spaces
• On unimodular multilinear forms with small norms on sequence spaces
• A general Beurling-Helson-Lowdenslager theorem on the disk
• Linearity of sets of strange functions
• Pointwise lineability in sequence spaces
• A noncommutative Beurling theorem with respect to unitarily invariant norms
• SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES
• Equivalence constants for the $l_p$-norms and the $l_q$-symmetric multilinear operator norms of vectors in $\mathbb{C}^n$

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