Dual pairs of sequence spaces. III

DOI10.1016/j.jmaa.2006.01.012zbMath1111.46003OpenAlexW2025044327MaRDI QIDQ852838

Toivo Leiger, Johann Boos

Publication date: 15 November 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.012

zbMATH Keywords

factor sequencestopological sequence spacesfactorization theorems\(\phi\)-topology\(AB\)-property\(F\)-dualsection boundedness

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Banach sequence spaces (46B45) Duality theory for topological vector spaces (46A20) Functional analytic methods in summability (40H05) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Cites Work

• Unconditional Toeplitz sections in sequence spaces
• A concrete duality approach to compactness and strict singularity of inclusion operators
• On unconditional section boundedness in sequence spaces
• Dual pairs of sequence spaces
• On the \(f\)-dual of sequence spaces
• On sectionally bounded BK-spaces
• Inclusion theorems and semiconservative FK spaces
• THE β-DUAL OF FK-SPACES
• Strong Boundedness and Strong Convergence in Sequence Spaces
• On Toeplitz sections in sequence spaces
• ON STRONG CONVERGENCE FACTORS
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