Tensor norms and operators in the category of Banach spaces

DOI10.1007/BF01694031zbMath0478.46055OpenAlexW2060871235MaRDI QIDQ1161134

Joan Wick Pelletier

Publication date: 1982

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01694031

zbMATH Keywords

tensor normscomposition theoremsdual functors in the category of Banach spacesspaces of p-integral and absolutely p-summing operatorsStegall characterization of dual spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Projective and injective objects in functional analysis (46M10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dual functors and integral operators in the category of Banach spaces
• The Radon-Nikodym theorem for Banach space valued measures
• Functors and categories of Banach spaces. Tensor products, operator ideals and functors on categories of Banach spaces
• Banach ideals of operators with applications
• Quasinukleare Abbildungen in normierten Räumen
• Absolutely \(p\)-summing, \(p\)-nuclear operators and their conjugates
• Characterizations of Banach spaces whose duals are \(L_ 1\) spaces
• On tensor products of Banach spaces
• FUNCTORS IN CATEGORIES OF BANACH SPACES
• Absolut p-summierende Abbildungen in normierten Räumen
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Produits tensoriels d'espaces de Banach et classes d'applications linéaires
• Produits tensoriels topologiques et espaces nucléaires
• A Theory of Cross-Spaces. (AM-26)
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹