Simple Proofs of the Uniform Convexity ofLpand the Riesz Representation Theorem forLp

DOI10.1080/00029890.2018.1496762zbMath1404.46026OpenAlexW2894099630WikidataQ58304332 ScholiaQ58304332MaRDI QIDQ4685118

Naoki Shioji

Publication date: 5 October 2018

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2018.1496762

zbMATH Keywords

Riesz representation theoremuniform convexitydual space\(L^p\)-spacesLebesgue spaces

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) Geometry and structure of normed linear spaces (46B20) Duality and reflexivity in normed linear and Banach spaces (46B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lectures on functional analysis and the Lebesgue integral. Translated from the French by the author
• On the uniform convexity of \(L^p\) and \(l^p\)
• On the uniform convexity of \(L^ p\) spaces, \(1<p\leq 2\)
• A Note on Uniformly Convex Spaces
• On CLARKSON's Inequalities and Interpolation
• Shorter Notes: A Simple Proof of Clarkson's Inequality
• A Convexity Inequality
• On the uniform convexity of $L^p$
• Functional Analysis
• On clarkson's inequalities
• Linear Functionals on Certain Banach Spaces
• A Note on the Space L ∗ p
• On uniformly convex functions

This page was built for publication: Simple Proofs of the Uniform Convexity ofL^pand the Riesz Representation Theorem forL^p