Smoothness and duality in \(L_p(E, \mu)\)

DOI10.1016/0022-247X(74)90257-1zbMath0284.46025OpenAlexW2151357022MaRDI QIDQ1845182

Yanyan Li

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0022-247x(74)90257-1

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) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Duality and reflexivity in normed linear and Banach spaces (46B10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (6)

Extreme points, smooth points and noncreasiness of \(\psi\)-direct sum of Banach spaces ⋮ Surjective isometries on absolutely continuous vector valued function spaces ⋮ Unnamed Item ⋮ Representation theorems of the dual of Lebesgue-Bochner function spaces ⋮ Existence theorems of optimal control problems in Banach spaces ⋮ Geometry of Banach Spaces of Functions Associated with Concave Functions

Cites Work

• Unnamed Item
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• Linear functionals on certain spaces of abstractly valued functions
• A proof that every Banach space is subreflexive
• On the Basis Problem in Normed Spaces
• Differentiable norms in Banach spaces
• On locally uniformly convex and differentiable norms in certain non-separable Banach spaces
• Bounded Linear Operators on Banach Function Spaces of Vector-Valued Functions
• Geometry of Lebesgue-Bochner function spaces—smoothness
• The Geometry of Banach Spaces. Smoothness
• Sur Le Théoréme De Lebesgue-Nikodym (V)

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