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Best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2006 In this paper we shall present some results on spaces with asymmetric seminorms, with emphasis on best approximation problems in such spaces.
Ştefan Cobzaş, Costică Mustăţa
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Extension of bounded linear functionals and best approximation in spaces with asymmetric norm
Journal of Numerical Analysis and Approximation Theory, 2004 The present paper is concerned with the characterization of the elements of best approximation in a subspace \(Y\) of a space with asymmetric norm, in terms of some linear functionals vanishing on \(Y\).
Ş. Cobzaş, C. Mustăţa
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New Results on the Aggregation of Norms
Mathematics, 2021 It is a natural question if a Cartesian product of objects produces an object of the same type. For example, it is well known that a countable Cartesian product of metrizable topological spaces is metrizable.
Tatiana Pedraza +1 more
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Geodesic fields for Pontryagin type $C^0$-Finsler manifolds
, 2021 Let $M$ be a differentiable manifold, $T_xM$ be its tangent space at $x\in M$ and $TM=\{(x,y);x\in M;y \in T_xM\}$ be its tangent bundle. A $C^0$-Finsler structure is a continuous function $F:TM \rightarrow \mathbb [0,\infty)$ such that $F(x,\cdot): T_xM
Fukuoka, Ryuichi, Rodrigues, Hugo Murilo
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Smooth negligibility of compact sets in infinite-dimensional Banach spaces, with applications [PDF]
, 1998 This article deals with smooth removability of compact sets in infinite-dimensional Banach spaces. The main result states that ifX is an infinite-dimensional Banach space which has a not necessarily equivalent Cp-smooth norm and K is a compact subset of ...
Azagra Rueda, Daniel +1 more
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Multi-state asymmetric simple exclusion processes [PDF]
, 2014 It is known that the Markov matrix of the asymmetric simple exclusion process (ASEP) is invariant under the Uq(sl2) algebra. This is the result of the fact that the Markov matrix of the ASEP coincides with the generator of the Temperley-Lieb (TL) algebra,
Matsui, Chihiro
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Principal Component Analysis in an Asymmetric Norm [PDF]
, 2014 Principal component analysis (PCA) is a widely used dimension reduction tool in the analysis of many kind of high-dimensional data. It is used in signal processing, mechanical engineering, psychometrics, and other fields under different names.
Haerdle, Wolfgang Karl +2 more
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Memory vectors for similarity search in high-dimensional spaces [PDF]
, 2017 We study an indexing architecture to store and search in a database of high-dimensional vectors from the perspective of statistical signal processing and decision theory.
Furon, Teddy +4 more
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Journal of Numerical Analysis and Approximation Theory, 2003 A well known result of R. R. Phelps (1960) asserts that in order that every linear continuous functional, defined on a subspace \(Y\) of a real normed space \(X\), have a unique norm preserving extension it is necessary and sufficient that its ...
Costică Mustăţa
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Algebraic Davis decomposition and asymmetric Doob inequalities
, 2015 In this paper we investigate asymmetric forms of Doob maximal inequality. The asymmetry is imposed by noncommutativity. Let $(\M,\tau)$ be a noncommutative probability space equipped with a weak-$*$ dense filtration of von Neumann subalgebras $(\M_n)_{n \
Hong, Guixiang +2 more
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