Type and cotype of Musielak-Orlicz sequence spaces

DOI10.1006/jmaa.1998.6089zbMath0915.46005OpenAlexW2013200048MaRDI QIDQ1272866

Eleni Katirtzoglou

Publication date: 7 July 1999

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

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6089

zbMATH Keywords

cotype \(q\)Rademacher functionMusielak-Orlicz functionYoung functionsMusielak-Orlicz sequence space

Mathematics Subject Classification ID

Sequence spaces (including Köthe sequence spaces) (46A45) Classical Banach spaces in the general theory (46B25)

Related Items

One-complemented subspaces of Musiełak-Orlicz sequence spaces ⋮ Schur property and l_P isomorphic copies in Musielak–Orlicz sequence spaces ⋮ The Schur and (weak) Dunford-Pettis properties in Banach lattices ⋮ Interpolator symmetries and new Kalton-Peck spaces ⋮ Some vector valued sequence spaces of Musielak-Orlicz functions and their operator ideals ⋮ The Banach-Saks properties in Orlicz-Lorentz spaces ⋮ Banach-Saks type and Gurariǐ modulus of convexity of some Banach sequence spaces ⋮ New families of nonreflexive Banach spaces with the fixed point property ⋮ Banach-Saks properties of Musielak-Orlicz and Nakano sequence spaces ⋮ Type and cotype in vector-valued Nakano sequence spaces ⋮ Domains of convergence for monomial expansions of holomorphic functions in infinitely many variables ⋮ One-Complemented Subspaces in Musielak-Orlicz Sequence Spaces with a General Smoothness Condition ⋮ On some geometric properties of generalized Musielak-Orlicz sequence space and corresponding operator ideals ⋮ Orlicz norm estimates for eigenvalues of matrices ⋮ Cotype 2 estimates for spaces of polynomials on sequence spaces

Cites Work

• Orlicz spaces and modular spaces
• On \(\ell^ p\)-copies in Musielak-Orlicz sequence spaces
• Uniform rotundity of Musielak-Orlicz sequence spaces
• A factorization theorem in Banach lattices and its application to Lorentz spaces
• Holomorphic semi-groups and the geometry of Banach spaces
• Uniformly non-\(\ell^{(1)}_n\) Musielak-Orlicz sequence spaces
• The dimension of almost spherical sections of convex bodies
• On Orlicz sequence spaces. III
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• Orlicz sequence spaces without local convexity
• On modular sequence spaces
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