The (non)tensor structure of \(BV\)-spaces

DOI10.1007/BF03322677zbMath0999.46014MaRDI QIDQ5937367

Matthias Schmitt

Publication date: 2 April 2002

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

tensor productsfunctions of bounded variationgreatest reasonable crossnormsymmetrized tensor product spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of operators; tensor products; approximation properties (46B28) Product spaces in general topology (54B10) Functions of bounded variation, generalizations (26A45) Tensor products in functional analysis (46M05)

Cites Work

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• Absolutely continuous invariant measures for piecewise expanding \(C^ 2\) transformations in \(\mathbb R^N\)
• Approximation theory in tensor product spaces
• Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane
• Théorie ergodique pour des classes d'opérations non completement continues
• Weakly Differentiable Functions
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane
• A Theory of Cross-Spaces. (AM-26)

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