Smoothness and estimates of sequences in Banach spaces
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Publication:1804805
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
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 \(c_ 0\)
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 lp-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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