Results 1 to 10 of about 244 (119)
Normed Ordered and 𝐸-Metric Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 In 2007, Haung and Zhang introduced the notion of cone metric spaces. In this paper, we define an ordered space 𝐸, and we discuss some properties and examples. Also, normed ordered space is introduced.
Ahmed Al-Rawashdeh +2 more
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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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Nonstandard hulls of lattice-normed ordered vector spaces
Turkish Journal of Mathematics, 2018 Nonstandard hulls of a vector lattice were introduced and studied in \cite{E10,E9,E7,E5,E3}. In recent paper \cite{EG}, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space \cite{E8}, we describe and investigate nonstandard hull of a lattice-normed space, which is ...
Abdullah Aydin, Svetlana Gorokhova
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PARTIALLY ORDERED NORMED lINEAR SPACES WITH WEAK FATOU PROPERTY
Taiwanese Journal of Mathematics, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Koshi, S., Dimiev, S., Lazov, R.
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Directedness in ordered normed spaces and operators
Mathematische Annalen, 1981 Ng, Kung-Fu, Duhoux, Michel
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Monotonic norms in ordered Banach spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988 AbstractLet B be an ordered Banach space with ordered Banach dual space. Let N denote the canonical half-norm. We give an alternative proof of the following theorem of Robinson and Yamamuro: the norm on B is α-monotone (α ≥ 1) if and only if for each f in B* there exists g ∈ B* with g ≥ 0, f and ∥g∥ ≤ α N(f).
Ng, K. F., Law, C. K.
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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 −
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An investigation of fractional Bagley-Torvik equation
Open Mathematics, 2019 In this paper the authors prove the existence as well as approximations of the solutions for the Bagley-Torvik equation admitting only the existence of a lower (coupled lower and upper) solution.
Fazli Hossein, Nieto Juan J.
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Coupled fixed point theorems with applications to fractional evolution equations
Advances in Difference Equations, 2017 In this paper, we first prove some coupled fixed point theorems in partially ordered Φ-orbitally complete normed linear spaces. And then apply the obtained fixed point theorems to a class of semilinear evolution systems of fractional order for proving ...
He Yang +2 more
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On Spaces with Norms of Negative and Positive Order [PDF]
Proceedings of the American Mathematical Society, 1972 The two Hilbert spaces H 0 {H_0}
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