PLANK PROBLEMS, POLARIZATION AND CHEBYSHEV CONSTANTS

DOI10.4134/JKMS.2004.41.1.157zbMath1047.46036OpenAlexW184578439MaRDI QIDQ4454366

Yannis Sarantopoulos, Szilárd Gy. Révész

Publication date: 8 March 2004

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2004.41.1.157

zbMATH Keywords

polarization constantpolynomials over normed spacescomplex plank problem

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Inequalities and extremum problems involving convexity in convex geometry (52A40) (Spaces of) multilinear mappings, polynomials (46G25)

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Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Weak-closure and polarization constant by Gaussian measure ⋮ Non-linear plank problems and polynomial inequalities ⋮ On the n‐th linear polarization constant of Rn$\mathbb {R}^n$ ⋮ Transfinite diameter, Chebyshev constant and energy on locally compact spaces ⋮ The \(d\)th linear polarization constant of \(\mathbb R^d\) ⋮ The real plank problem and some applications ⋮ A geometric estimate on the norm of product of functionals ⋮ Linear polarization constants of Hilbert spaces ⋮ Plank type problems for polynomials on Banach spaces ⋮ Potential theoretic approach to rendezvous numbers ⋮ Rendezvous numbers in normed spaces ⋮ Lower bounds for norms of products of polynomials via Bombieri inequality ⋮ Homogeneous polynomials and extensions of Hardy-Hilbert's inequality ⋮ The polarization constant of finite dimensional complex spaces is one

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