Results 201 to 210 of about 10,594 (231)

Statistical convergence of order β in fuzzy normed linear spaces

Journal of Intelligent & Fuzzy Systems, 2019
 In 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.
openaire   +3 more sources

Adjoining an order unit to a normed linear space

2021
Using 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 ...
openaire   +1 more source

Minimal decompositions in partially ordered normed vector spaces

Mathematical Proceedings of the Cambridge Philosophical Society, 1968
In 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 ...
openaire   +2 more sources

STRONGLY LACUNARY CONVERGENCE OF ORDER ? IN NEUTROSOPHIC NORMED SPACES

2023
In 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., Mikail, Et, Cakalli, Hüseyin   +2 more
openaire   +1 more source

Order spectrum of r-compact operators in lattice normed spaces

Siberian Mathematical Journal, 1991
Let \(E\) 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 \(
openaire   +2 more sources

A Remark on the Norm of Integer Order Favard Spaces

Semigroup Forum, 2005
For 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 ...
openaire   +1 more source

Generalized M-norms on ordered normed spaces

Banach Center Publications, 2005
I. Tzschichholtz, M. R. Weber
openaire   +1 more source

ORDERED NORMED SPACES

1982
L.V. KANTOROVICH, G.P. AKILOV
openaire   +1 more source

On the Topological Structure of KM Fuzzy Metric Spaces and Normed Spaces

IEEE Transactions on Fuzzy Systems, 2020
Jian-Zhong Xiao
exaly  

Order Units and Base Norms Generalized for Convex Spaces

Proceedings of the London Mathematical Society, 1976
Feldman, W. A., Porter, J. F.
openaire   +1 more source