On G p -Classes of Trilinear Forms

DOI10.1112/S0024610799007504zbMath0935.47022MaRDI QIDQ4354264

Thomas Kühn, Fernando Cobos, Jaak Peetre

Publication date: 15 September 1997

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

zbMATH Keywords

trilinear formsdominationSchatten-von Neumann classesquasi-Banach casetwo-boundedness

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (10)

Tensors in computations ⋮ Further results for \(Z\)-eigenvalue localization theorem for higher-order tensors and their applications ⋮ Extreme Ratio Between Spectral and Frobenius Norms of Nonnegative Tensors ⋮ On Orthogonal Tensors and Best Rank-One Approximation Ratio ⋮ Approximation numbers of nuclear and Hilbert--Schmidt multilinear forms defined on Hilbert spaces ⋮ Complex interpolation and summability properties of multilinear operators ⋮ Chebyshev Polynomials and Best Rank-one Approximation Ratio ⋮ Two examples of trilinear forms whose approximation numbers satisfy the appropriate summability properties but which are not nuclear or of Hilbert-Schmidt type ⋮ An integral formula for multiple summing norms of operators ⋮ Singular Values of Trilinear Forms

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