Results 221 to 230 of about 454 (252)
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A p-theory of ordered normed spaces
Positivity, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On extremal solutions of operator equations in ordered normed spaces
Applicable Analysis, 1992In this paper we shall first derive fixed point results for mappings in ordered normed spaces by using a generalized iteration method. Counterexamples are given to illustrate the necessity of the assumptions given for mappings and orderings. The obtained fixed point results are then applied to derive existence results for extremal solutions of the ...
Seppo Heikkila
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Generalized M-norms on ordered normed spaces
Banach Center Publications, 2005 I. Tzschichholtz, M. R. Weber
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Measures under the flat norm as ordered normed vector space
Positivity, 2017The space of all real Borel measures \(\mathcal{M}(S)\) on a metric space \(S\) is usually considered by the variational norm. In this paper the authors consider that space under the \textit{flat norm}; i.e., as a linear subspace of the dual of Lip\((S)\), the space of bounded Lipschitz continuous functions on \(S\) endowed by the usual Lipschitz norm.
Gwiazda, Piotr +2 more
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Statistical convergence of order β in fuzzy normed linear spaces
Journal of Intelligent & Fuzzy Systems, 2019In this paper, we introduce the concepts of statistically convergent sequences of order β and statistically Cauchy sequences of order β in fuzzy normed spaces. Furthermore, we give the relations between statistically convergent sequences of order
Muhammed Çinar, Mikail Et
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Adjoining an order unit to a normed linear space
2021Using a technique of adjoining an order unit to a normed linear space, we have characterized strictly convex spaces among normed linear spaces and Hilbert spaces among strictly convex Banach spaces respectively. This leads to a generalization of spin factors and provides a new class of absolute order unit spaces which is denoted as tracial absolute ...
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On a certain Maximum Principle for Positive Operators in an Ordered Normed Space
Positivity, 2000Let \(X\) be an normed space ordered by a closed cone \(K\) with a non-empty interior. Let \(K'\) be the dual cone. The assumptions on \(K\) imply that the cone \(K'\) has a base \(B\). The authors say that a linear continuous positive operator \(A: X\to X\) satisfies the maximum principle if for each \(x>0\) there exists a functional \(f\in B\) such ...
Kalauch, A., Weber, M. R.
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On spaces in which the norm convergence coincides with the order convergence
Mathematical Notes of the Academy of Sciences of the USSR, 1973We investigate partially ordered normed vector spaces in which the norm convergence coincides with the order convergence. We consider spaces where the convergences coincide for arbitrary nets and spaces where the convergences coincide only for sequences. We give conditions which characterize such spaces and investigate their properties.
Vulikh, B. Z., Korsakova, O. S.
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