The classical Banach spaces ℓ_{𝑣𝑎𝑟𝑝ℎ𝑖}/ℎ_{𝜑}

DOI10.1090/S0002-9939-96-03490-9zbMath0863.46013OpenAlexW1568038962MaRDI QIDQ3837617

A. S. Granero, Henryk Hudzik

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03490-9

zbMATH Keywords

Orlicz functionOrlicz sequence spacedual spaceGrothendieck spacesmooth pointsrenormingquotient Banach spacesstrictly convex or smooth normstructural and geometric properties

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (4)

Quotients, \(\ell_\infty\) and abstract Cesàro spaces ⋮ The extension of the Krein-Šmulian theorem for Orlicz sequence spaces and convex sets ⋮ Sequential continuity in the ball topology of a Banach space ⋮ The lattice copies of \(\ell_{\infty}(\Gamma)/c_{0}(\Gamma)\) in a quotient of a Banach lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A classical Banach space: \(\ell_{\infty}/c_ 0\)
• Some theorems concerning modulars depending on a parameter
• On injective Banach spaces and the spaces \(L^ \infty(\mu)\) for finite measures \(\mu\)
• The Weak Topology of a Banach Space
• On the order-topological properties of the quotient space $L/L_{A}$
• On the Primariness of the Banach Space l ∞ /C 0
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

This page was built for publication: The classical Banach spaces ℓ_{𝑣𝑎𝑟𝑝ℎ𝑖}/ℎ_{𝜑}