On the n‐th linear polarization constant of Rn$\mathbb {R}^n$

DOI10.1002/mana.202200026arXiv2208.05584OpenAlexW4372402020MaRDI QIDQ6074627

Damián Pinasco

Publication date: 12 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.05584

zbMATH Keywords

product of linear functionalslinear polarization constantscomplex plank problem

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) (Spaces of) multilinear mappings, polynomials (46G25) Inequalities for trigonometric functions and polynomials (26D05)

Cites Work

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• The plank problem for symmetric bodies
• Pfaffians, Hafnians and products of real linear functionals
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• Gaussian variables, polynomials and permanents
• Geometry of spaces of polynomials
• Averages of norms and quasi-norms
• Linear polarization constants of Hilbert spaces
• A geometric estimate on the norm of product of functionals
• The linear polarization constant of \(\mathbb{R}^n\)
• Lower bounds for norms of products of polynomials via Bombieri inequality
• THE COMPLEX PLANK PROBLEM
• The real plank problem and some applications
• Lower Bounds for Norms of Products of Polynomials
• PLANK PROBLEMS, POLARIZATION AND CHEBYSHEV CONSTANTS
• Lower bounds for multilinear forms defined on Hilbert Spaces
• On the real linear polarization constant problem
• A Solution of the "Plank Problem"

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