Fractional tensor products and P \& M maps

DOI10.1016/0022-1236(91)90112-IzbMath0735.43003MaRDI QIDQ1178604

Ron C. Blei

Publication date: 26 June 1992

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Banach algebraabsolutely convergent Fourier seriesprojective tensor productGrothendieck inequalitylocally compact Hausdorff spacesp-Sidon setfractional projective tensor algebrasP\&M maps

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Fourier series and coefficients in several variables (42B05) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (1)

Stochastic integrators indexed by a multi-dimensional parameter

Cites Work

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• Multidimensional extensions of the Grothendieck inequality and applications
• Fractional cartesian products of sets
• On an inequality of von Neumann and an application of the metric theory of tensor products to operators theory. (Appendix by S. Kaijser and N. Th. Varopoulos.)
• Tensor algebras and harmonic analysis
• Fractional dimensions and bounded fractional forms

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