Results 11 to 20 of about 1,250 (216)
Index of symmetry and topological classification of asymmetric normed spaces [PDF]
Rocky Mountain Journal of Mathematics, 2020 Let X, Y be asymmetric normed spaces and Lc(X, Y) the convex cone of all linear continuous operators from X to Y. It is known that in general, Lc(X, Y) is not a vector space. The aim of this note is to prove, using the Baire category theorem, that if Lc(X, Y) is a vector space for some asymmetric normed space Y , then X is isomorphic to its associated ...
Bachir, Mohammed, Flores, Gonzalo
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Asymmetric Norms and the dual complexity spaces. [PDF]
, 2015 Desde el punto de vista de la Ciencia de la Computación, un avance reciente lo ha constituido el establecimiento de un modelo matemático que da cuenta de la distancia entre algoritmos y programas, cuando estos son analizados desde la óptica de la complejidad computacional, entendiendo por complejidad, por ejemplo, la medida del tiempo de computación.
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Separation axioms and covering dimension of asymmetric normed spaces [PDF]
Quaestiones Mathematicae, 2019 In this paper, we approach the question if some of the separation axioms are equivalent in the class of asymmetric normed spaces. In particular, we make a remark on a known theorem which states that every $T_1$ asymmetric normed space with compact closed unit ball must be finite-dimensional.
Donjuán, Victor, Jonard-Pérez, Natalia
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Sequence spaces and asymmetric norms in the theory of computational complexity
Mathematical and Computer Modelling, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
García-Raffi, L. M. +2 more
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Local Antisymmetric Connectedness in Asymmetrically Normed Real Vector Spaces
Universal Journal of Mathematics and Applications, 2023 In this paper, some properties of locally antisymmetrically connected spaces which are the localized version of the antisymmetrically connected $T_0$-quasi-metric spaces constructed as the natural counterparts of connected complementary graphs, are presented in terms of asymmetric norms.
Nezakat JAVANSHIR, Filiz YILDIZ
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Local compactness in right bounded asymmetric normed spaces [PDF]
Quaestiones Mathematicae, 2017 We characterize the finite dimensional asymmetric normed spaces which are right bounded and the relation of this property with the natural compactness properties of the unit ball, as compactness and strong compactness. In contrast with some results found in the existing literature, we show that not all right bounded asymmetric norms have compact closed
Jonard Pérez,Natalia +1 more
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Quasi-Metric Properties of the Dual Cone of an Asymmetric Normed Space
Results in Mathematics, 2022 [EN] We obtain some quasi-metric properties of the dual cone of an asymmetric normed space. Thus, we prove that it is balanced, and hence its topology is completely regular. We also prove that it is complete in the sense of D. Doitchinov. These results generalize those obtained by Romaguera et al.
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Banach-Steinhaus theorem for linear relations on asymmetric normed spaces
Carpathian Mathematical Publications, 2022 We study the continuity of linear relations defined on asymmetric normed spaces with values in normed spaces. We give some geometric charactirization of these mappings. As an application, we prove the Banach-Steinhaus theorem in the framework of asymmetric normed spaces.
K. Bouadjila, A. Tallab, E. Dahia
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Molecular Oncology, EarlyView.Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson +9 more
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Molecular Oncology, EarlyView.The novel styrylquinazolinone‐based molecule W1B effectively suppresses glioblastoma by inhibiting IGF1R and EGFR. In high‐glucose microenvironments driving tumor resistance, W1B acts synergistically with the EGFR inhibitor dacomitinib. This combination safely blocks compensatory survival signaling in zebrafish xenograft models. Showcasing promising in
Patryk Rurka +9 more
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