Smoothness and estimates of sequences in Banach spaces

DOI10.1007/BF02808207zbMath0823.46013OpenAlexW1980314601MaRDI QIDQ1804805

Jesús Angel Jaramillo, Raquel Gonzalo

Publication date: 15 May 1995

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808207

zbMATH Keywords

lower and upper estimates\(C^ \infty\)-smooth Banach space with symmetric basisupper bound for the order of smoothness of bump functions in Banach spaces without copy of \(c_ 0\)

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (3)

Analytic norms in Orlicz spaces ⋮ Type and cotype of multilinear operators ⋮ Estimates of disjoint sequences in Banach lattices and r.i. function spaces

Cites Work

• Geometrical implications of the existence of very smooth bump functions in Banach spaces
• Orlicz sequence spaces of Banach-Saks type
• Norms with locally Lipschitzian derivatives
• Weakly \(p\)-compact, \(p\)-Banach-Saks, and super-reflexive Banach spaces
• Norms of best smoothness in Orlicz spaces
• SEPARATING POLYNOMIALS ON BANACH SPACES
• Smoothness properties in Banach spaces
• On bases and unconditional convergence of series in Banach spaces
• Lipschitz Smooth Points of Convex Functions and Isomorphic Characterizations of Hilbert Spaces
• A Characterization of C ^∞ -Smooth Banach Spaces
• Smooth Norms in Orlicz Spaces
• Upper l_p-estimates in vector sequence spaces, with some applications
• Polynomials and multilinear mappings in topological vector-spaces
• On approximation in real Banach spaces
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