Results 11 to 20 of about 10,024,030 (363)
The tight approximation property [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2021 AbstractThis article introduces and studies the tight approximation property, a property of algebraic varieties defined over the function field of a complex or real curve that refines the weak approximation property (and the known cohomological obstructions to it) by incorporating an approximation condition in the Euclidean topology.
Benoist, Olivier, Wittenberg, Olivier
openaire +5 more sources
Simple Lie groups without the Approximation Property [PDF]
, 2013 For a locally compact group G, let A(G) denote its Fourier algebra, and let M_0A(G) denote the space of completely bounded Fourier multipliers on G.
De Laat, Tim, Uffe Haagerup
core +4 more sources
Simple Lie groups without the Approximation Property II [PDF]
, 2015 We prove that the universal covering group $\widetilde{\mathrm{Sp}}(2,\mathbb{R})$ of $\mathrm{Sp}(2,\mathbb{R})$ does not have the Approximation Property (AP).
de Laat, Tim, Haagerup, Uffe
core +2 more sources
Haagerup approximation property for arbitrary von Neumann algebras [PDF]
, 2015 We attempt presenting a notion of the Haagerup approximation property for an arbitrary von Neumann algebra by using its standard form. We also prove the expected heredity results for this property.Comment: To appear in Publ. Res. Inst.
Okayasu, Rui, Tomatsu, Reiji
core +2 more sources
The strong approximation property and the weak bounded approximation property
Journal of Functional Analysis, 2014 Let \(X\) and \(Y\) be Banach spaces. Let \({\mathcal{L}}(X,Y)\) denote the space of bounded linear operators from \(X\) to \(Y\). Let \({\mathcal{F}}(X,Y)\), \({\mathcal{K}}(X,Y)\), and \({\mathcal{W}}(X,Y)\) be its subspaces of finite-rank, compact, and weakly compact operators, respectively.
Ju Myung Kim, Bentuo Zheng
openaire +2 more sources
Acta et Commentationes Universitatis Tartuensis de Mathematica, 2014 We introduce and study a general approximation property which takes origin in Numerical Analysis.
A. Plichko
openaire +3 more sources
Schauder Basis, Separability, and Approximation Property in Intuitionistic Fuzzy Normed Space
Abstract and Applied Analysis, 2010 We define and study the concepts of Schauder basis, separability, and approximation property in intuitionistic fuzzy normed spaces and establish some results related to these concepts.
M. Mursaleen +2 more
doaj +2 more sources
Universal approximation property of invertible neural networks [PDF]
Journal of machine learning research, 2022 Invertible neural networks (INNs) are neural network architectures with invertibility by design. Thanks to their invertibility and the tractability of Jacobian, INNs have various machine learning applications such as probabilistic modeling, generative ...
Isao Ishikawa +5 more
semanticscholar +1 more source
The Universal Approximation Property
Annals of Mathematics and Artificial Intelligence, 2020 The universal approximation property of various machine learning models is currently only understood on a case-by-case basis, limiting the rapid development of new theoretically justified neural network architectures and blurring our understanding of our
Anastasis Kratsios
semanticscholar +1 more source
A Non-commutative Fejér Theorem for Crossed Products, the Approximation Property, and Applications [PDF]
, 2019 We prove that a locally compact group has the approximation property (AP), introduced by Haagerup-Kraus, if and only if a non-commutative Fej\'{e}r theorem holds for the associated $C^*$- or von Neumann crossed products.
Jason Crann, M. Neufang
semanticscholar +1 more source