Results 201 to 210 of about 10,557 (219)
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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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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 β and statistically ...
Çinar, M., Et, M.
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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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Minimal decompositions in partially ordered normed vector spaces
Mathematical Proceedings of the Cambridge Philosophical Society, 1968In this paper we study partially ordered vector spaces X whose positive cone K possesses a base which defines a norm in X. A positive decomposition x = y − z of the element x is said to be minimal if ‖x‖ = ‖y‖ + ‖z‖. We proved in (6) that the property that every element of X has a unique minimal decomposition is equivalent to an intersection property ...
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STRONGLY LACUNARY CONVERGENCE OF ORDER ? IN NEUTROSOPHIC NORMED SPACES
2023In this paper, the concept of a strongly lacunary convergence of order a in the neu-trosophic normed spaces is introduced. A few fundamental properties of this new concept are investigated.
Kandemir, H. S. +2 more
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Order spectrum of r-compact operators in lattice normed spaces
Siberian Mathematical Journal, 1991Let \(E\) be an \(o\)-complete Banach lattice, \(X\) a complex vector space and \(p\) from \(X\) into \(E\) a Kantorovich norm. The triple \((X,p,E)\) is called a lattice normed space. A lattice normed space is said to be \(br\)-complete if for any sequence \((x_n)\) in \(X\) from \(p(x_n-x_m) \xrightarrow{r} 0\) the existence of \(x\in X\) such that \(
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A Remark on the Norm of Integer Order Favard Spaces
Semigroup Forum, 2005For a generator $A$ of a $C_0$-semigroup $T(\cdot)$ on a Banach space $X$ we consider the semi-norm $M^{k}_x:=\limsup_{t\to 0+}\|t^{-1}(T(t)-I)A^{k-1}x\|$ on the Favard space ${\cal F}_{k}$ of order $k$ associated with $A$. The use of this semi-norm is motivated by the functional analytic treatment of time-discretization methods of linear evolution ...
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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 ...
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Generalized M-norms on ordered normed spaces
Banach Center Publications, 2005I. Tzschichholtz, M. R. Weber
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