Homogeneous orthogonally additive polynomials on Banach lattices
The main result in this paper is a representation theorem for homogeneous orthogonally additive polynomials on Banach lattices. The representation theorem is used to study the linear span of the set of zeros of homogeneous real-valued orthogonally ...
Llavona, José G. +5 more
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The Additive Operator Preserving Birkhoff Orthogonal
The Birkhoff orthogonal plays an important role in the geometric study of Banach spaces. It has been con rmed that a Birkhoff orthogonality preserving linear operator between two normed linear spaces must necessarily be a scalar multiple of a linear isometry. In this paper, the author gives a new result that a Birkhoff orthogonality preserving additive
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A representation theorem for orthogonally additive polynomials on Riesz spaces
The aim of this article is to prove a representation theorem for orthogonally additive polynomials in the spirit of the recent theorem on representation of orthogonally additive polynomials on Banach lattices but for the setting of Riesz spaces.
Llavona, José G. +5 more
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Relations entre Psi_B et quelques représentations temps-fréquence [PDF]
Psi_B operator is an energy operator that measures the interactions between two complex signals. In this letter, new properties of Psi_B operator are presented.
BOUDRAA, Abdel-Ouahab
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Beautiful and functional : a review of biomimetic design in additive manufacturing [PDF]
: This review article summarizes the current state-of-the-art for biomimicry in additive manufacturing. Biomimicry is the practice of learning from and emulating nature - which can be increasingly realized in engineering applications due to progress in ...
Broeckhoven, Chris +7 more
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Orthogonally additive holomorphic functions on open subsets of C(K) [PDF]
We introduce, study and characterize orthogonally additive holomorphic functions f:U→ℂ where U is an open subset of C(K). We are led to consider orthogonal additivity at different points of U.Fil: Jaramillo, Jesús Ángel. Universidad Complutense de Madrid;
Prieto Yerro, M. Ángeles +5 more
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On the Representation of Orthogonally Additive Polynomials in l(p)
We present a new proof of a Sundaresan's result which shows that the space of orthogonally additive polynomials P-0((k)l(p)) is isometrically isomorphic to l(p/p-k) if k < p < infinity and to l(infinity) if 1
Llavona, José G. +2 more
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The lateral order on Köthe–Bochner spaces and orthogonally additive operators
The present article introduces a novel concept of regular orthogonally additive operators defined on a lattice-normed space \((\mathcal{X},E)\) with values in a vector lattice \(F.\) Several important examples of these operators are presented. The authors demonstrate that an orthogonally additive operator \(T\) from a decomposable lattice-normed space \
Pliev, Marat +2 more
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On properties of local additive estimation based on the smooth backfitting estimator. [PDF]
We study properties of local additive estimation based on the smooth backfitting estimator by Mammen, Linton and Nielsen (1999). The local additive estimator defined as a restricted additive estimator and thus inherits locally properties of additive ...
Seifert, Burkhardt, Park, Juhyun
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Orthogonally additive and multiplicative maps between Figá-Talamanca–Herz algebras
We study the structure of an n-homogeneous polynomial P:A_p(G_1)->A_p(G_2) between Figá-Talamanca–Herz algebras. Among other results, we show that there exist a proper affine map α:Y⊂ G_2->G_1 defined in an open coset Y of G_2 such that P(f)(y)=f(α(y))^n,
Ya-Shu Wang, 王雅書
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