TYPE AND ORDER CONVEXITY OF MARCINKIEWICZ AND LORENTZ SPACES AND APPLICATIONS

DOI10.1017/S0017089504002204zbMath1071.46003OpenAlexW2086831345MaRDI QIDQ4658663

Anna Kaminska, Nigel J. Kalton

Publication date: 18 March 2005

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089504002204

zbMATH Keywords

Lorentz spacequasi-Banach spaceMarcinkiewicz spacetype of a space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Local theory of Banach spaces (46B07) Isomorphic theory (including renorming) of Banach spaces (46B03)

Related Items (7)

Obituary: Nigel John Kalton, 1946-2010 ⋮ Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces ⋮ Convexity and concavity constants in Lorentz and Marcinkiewicz spaces ⋮ Pointwise products of some Banach function spaces and factorization ⋮ A note on type of weak-$L^1$ and weak-$\ell ^1$ spaces ⋮ Local geometric properties in quasi-normed Orlicz spaces ⋮ Symmetric spaces of measurable functions: some new and old advances

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