The approximation property and exactness of locally compact groups [PDF]
, 2019 We extend a theorem of Haagerup and Kraus in the C*-algebra context: for a locally compact group with the approximation property (AP), the reduced C*-crossed product construction preserves the strong operator approximation property (SOAP).
Yuhei Suzuki
semanticscholar +1 more source
The ideal of weakly p-compact operators and its approximation property for Banach spaces
, 2020 We investigate the ideal Wp of weakly p-compact operators and its approximation property (Wp-AP). We prove that Wp =Wp ◦Wp and Vp = Kup ◦W −1 p and that for 1 < p ≤ ∞, a Banach space X has the Wp-AP if and only if the identity map on X is approximated by
Ju Myung Kim
semanticscholar +1 more source
Approximation properties of tensor norms and operator ideals for Banach spaces
Open Mathematics, 2020 For a finitely generated tensor norm α\alpha , we investigate the α\alpha -approximation property (α\alpha -AP) and the bounded α\alpha -approximation property (bounded α\alpha -AP) in terms of some approximation properties of operator ideals.
Kim Ju Myung
doaj +1 more source
Link Travel Time Estimation in Double-Queue-Based Traffic Models
Promet (Zagreb), 2021 Double queue concept has gained its popularity in dynamic user equilibrium (DUE) modeling because it can properly model real traffic dynamics. While directly solving such double-queue-based DUE problems is extremely challenging, an approximation scheme ...
Xia Yang +3 more
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$q$-Araki-Woods algebras: extension of second quantisation and Haagerup approximation property [PDF]
, 2016 We extend the class of contractions for which the second quantisation on $q$-Araki-Woods algebras can be defined. As a corollary, we prove that all $q$-Araki-Woods algebras possess the Haagerup approximation property.
Mateusz Wasilewski
semanticscholar +1 more source
Approximation property and nuclearity on mixed‐norm Lp, modulation and Wiener amalgam spaces [PDF]
Journal of the London Mathematical Society, 2014 In this paper, we first prove the metric approximation property for weighted mixed‐norm Lw(p1,...,pn) spaces. Using Gabor frame representation, this implies that the same property holds in weighted modulation and Wiener amalgam spaces.
J. Delgado, Michael Ruzhansky, B. Wang
semanticscholar +1 more source
Approximation properties for noncommutative Lp-spaces associated with lattices in Lie groups [PDF]
, 2013 In 2010, Lafforgue and de la Salle gave examples of noncommutative Lp-spaces without the operator space approximation property (OAP) and, hence, without the completely bounded approximation property (CBAP).
Borel +27 more
core +2 more sources
Haagerup approximation property via bimodules [PDF]
, 2015 The Haagerup approximation property (HAP) is defined for finite von Neumann algebras in such a way that the group von Neumann algebra of a discrete group has the HAP if and only if the group itself has the Haagerup property.
Rui Okayasu, N. Ozawa, Reiji Tomatsu
semanticscholar +1 more source
About the density property in the space of continuous maps vanishing at infinity; pp. 282–290 [PDF]
Proceedings of the Estonian Academy of Sciences, 2018 The conditions when C0(X)âY is dense in C0(X;Y) in the compact-open topology on C0(X;Y) are given. This result is used for describing the properties of topological Segal algebras.
Mart Abel
doaj +1 more source
Frontiers in Neuroscience, 2020 Biological brain stores massive amount of information. Inspired by features of the biological memory, we propose an algorithm to efficiently store different classes of spatio-temporal information in a Recurrent Neural Network (RNN).
Parami Wijesinghe +2 more
doaj +1 more source