Results 11 to 20 of about 10,557 (219)
Tensor norms on ordered normed spaces, polarization constants, and exchangeable distributions [PDF]
Mathematische Nachrichten, 2021 AbstractWe define new norms for symmetric tensors over ordered normed spaces; these norms are defined by considering linear combinations of tensor products or powers of positive elements only. Relations between the different norms are studied. The results are applied to the problem of representing a finitely exchangeable distribution as a mixture of ...
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Gr\"obner methods for representations of combinatorial categories [PDF]
, 2016 Given a category C of a combinatorial nature, we study the following fundamental question: how does the combinatorial behavior of C affect the algebraic behavior of representations of C? We prove two general results.
Sam, Steven V, Snowden, Andrew
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Algebraic orthogonality and commuting projections in operator algebras
, 2017 We describe absolutely ordered $p$-normed spaces, for $1 \le p \le \infty$ which presents a model for "non-commutative" vector lattices and includes order theoretic orthogonality.
Karn, Anil Kumar
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Lower Local Uniform Monotonicity in F-Normed Musielak–Orlicz Spaces
AxiomsLower strict monotonicity points and lower local uniform monotonicity points are considered in the case of Musielak–Orlicz function spaces LΦ endowed with the Mazur–Orlicz F-norm.
Yanli Liu, Yangyang Xue, Yunan Cui
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, 2016 Different versions of the notion of a state have been formulated for various so-called quantum structures. In this paper, we investigate the interplay among states on synaptic algebras and on its sub-structures.
Foulis, David J. +2 more
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On Partial Orderings of Normed Spaces.
MATHEMATICA SCANDINAVICA, 1968 Some ways in which an arbitrary normed space can be partially ordered so that the norm, or at least the topology, is determined by the ordering are discussed. The orderings which are discussed induce either an order unit norm topology or a base norm topology or both, and in this connection vertices and special vertices of unit balls of normed spaces ...
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Order Norm Completions of Cone Metric Spaces
Numerical Functional Analysis and Optimization, 2011 In this article, a completion theorem for cone metric spaces and a completion theorem for cone normed spaces are proved. The completion spaces are constructed by means of an equivalence relation defined via an ordered cone norm on the Banach space E whose cone is strongly minihedral and ordered closed.
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Multilevel decompositions and norms for negative order Sobolev spaces [PDF]
Mathematics of Computation, 2021 We consider multilevel decompositions of piecewise constants on simplicial meshes that are stable in H − s H^{-s} for s ∈ ( 0 , 1 ) s\in (0,1) . Proofs are given in the case of uniformly and locally refined meshes.
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A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems
International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam +2 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
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