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Borel cocycles, approximation properties and relative property T
Ergodic Theory and Dynamical Systems, 2000Let $G$ and $H$ be locally compact groups. Assume that $G$ acts on a standard probability space $(S,\mu)$, $\mu$ being $G$-invariant. We prove that if there exists a Borel cocycle $\alpha:S\times G\longrightarrow H$ which is proper in an appropriate sense, then $G$ inherits some approximation properties of $H$, for instance amenability or the so-called
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On Saphar’s Approximation Property of Order p and the $$w_p$$-Approximation Property
Mediterranean Journal of MathematicsLet \(1\le p\le \infty\). A Banach space \(X\) is said to have the \(g_p\)-approximation property (the \(g_p\)-AP) if the natural mapping \(Y\widehat{\otimes}_{g_p} X\to Y\widehat{\otimes}_\varepsilon X\) is injective for all Banach spaces \(Y\). Here \(Y\widehat{\otimes}_{g_p} X\) denotes the completion of the tensor product \(Y\otimes X\) in the ...
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Approximation Properties of Perceptrons
2018As it was mentioned in Sect. 8.1, an untrained perceptron can be treated as a family of functions \(\mathbb {R}^n\rightarrow \mathbb {R}^m\) indexed by a vector set of all its weights. A given training set, in turn, can be regarded as a set of the points to which a mapping should be approximated in the best way.
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Some Properties of Chisholm Approximants
IMA Journal of Applied Mathematics, 1974Common, A. K., Graves-Morris, P. R.
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Managing intellectual property to develop medicines for the world's poorest
Nature Reviews Drug Discovery, 2017Timothy N C Wells
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Quantitative Structure–Property Relationship Modeling of Diverse Materials Properties
Chemical Reviews, 2012Tu Le, David A Winkler
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