Results 11 to 20 of about 10,594 (231)
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 ...
Svante Janson
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Support theorems in abstract settings [PDF]
, 2017 In this paper we establish a general framework in which the verification of support theorems for generalized convex functions acting between an algebraic structure and an ordered algebraic structure is still possible.
Olbryś, Andrzej, Páles, Zsolt
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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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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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, 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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Arthritis Care &Research, EarlyView.Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier +12 more
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Order convergence in infinite-dimensional vector lattices is not topological [PDF]
, 2017 In this note, we show that the order convergence in a vector lattice $X$ is not topological unless $\dim ...
Dabboorasad, Y. A. +2 more
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