Linear polarization constants of Hilbert spaces

DOI10.1016/j.jmaa.2004.06.031zbMath1081.46021OpenAlexW2126728953MaRDI QIDQ1765789

Szilárd Gy. Révész, Alexandros Pappas

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.06.031

zbMATH Keywords

linear polarization constant

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Multilinear and polynomial operators (47H60)

Related Items (12)

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Maximizing products of linear forms, and the permanent of positive semidefinite matrices ⋮ Non-linear plank problems and polynomial inequalities ⋮ On the n‐th linear polarization constant of Rn$\mathbb {R}^n$ ⋮ Squared chaotic random variables: new moment inequalities with applications ⋮ 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 ⋮ 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

Cites Work

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• The plank problem for symmetric bodies
• Gaussian variables, polynomials and permanents
• Geometry of spaces of polynomials
• Averages of norms and quasi-norms
• The linear polarization constant of \(\mathbb{R}^n\)
• THE COMPLEX PLANK PROBLEM
• An application of Jensen's formula to polynomials
• The Pythagorean Theorem in Certain Symmetry Classes of Tensors
• Lower Bounds for Norms of Products of Polynomials
• PLANK PROBLEMS, POLARIZATION AND CHEBYSHEV CONSTANTS
• Lower bounds for multilinear forms defined on Hilbert Spaces
• The Hadamard Theorem for Permanents
• A Solution of the "Plank Problem"
• Unique Arrangements of Points on a Sphere

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