Results 41 to 50 of about 4,123 (102)
On the Mazur‐Ulam Theorem in Non‐Archimedean Fuzzy n‐Normed Spaces
International Scholarly Research Notices, Volume 2013, Issue 1, 2013., 2013 The motivation of this paper is to present a new notion of non‐Archimedean fuzzy n‐normed space over a field with valuation. We obtain a Mazur‐Ulam theorem for fuzzy n‐isometry mappings in the strictly convex non‐Archimedean fuzzy n‐normed spaces. We also prove that the interior preserving mapping carries the barycenter of a triangle to the barycenter ...
Tian Zhou Xu, M. Tang, C. Zhu
wiley +1 more source
General Mazur-Ulam type theorems and some applications [PDF]
, 2015 Recently we have presented several structural results on certain isometries of spaces of positive definite matrices and on those of unitary groups. The aim of this paper is to put those previous results into a common perspective and extend
Molnár, Lajos
core +1 more source
Multiplicative Isometries on F‐Algebras of Holomorphic Functions
Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012 We study multiplicative isometries on the following F‐algebras of holomorphic functions: Smirnov class N*(X), Privalov class Np(X), Bergman‐Privalov class ANαp(X), and Zygmund F‐algebra NlogβN(X), where X is the open unit ball 𝔹n or the open unit polydisk 𝔻n in ℂn.
Osamu Hatori +4 more
wiley +1 more source
Some Properties of lp(A, X) Spaces
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 We provide a representation of elements of the space lp(A, X) for a locally convex space X and 1 ≤ p < ∞ and determine its continuous dual for normed space X and 1 < p < ∞. In particular, we study the extension and characterization of isometries on lp(N, X) space, when X is a normed space with an unconditional basis and with a symmetric norm.
Xiaohong Fu, Songxiao Li, Stevo Stevic
wiley +1 more source
Discrete Dynamics in Nature and Society, Volume 2004, Issue 1, Page 155-168, 2004., 2004 First, I will recount the substance of several important conversations I had with Ilya Prigogine over the years. There is no doubt in my mind that Professor Prigogine firmly believed in the underlying stochasticity of the universe. Second, I will summarize my curiosity about the principle of detailed balance.
Karl Gustafson
wiley +1 more source
An Approximate Version of the Jordan von Neumann Theorem for Finite Dimensional Real Normed Spaces [PDF]
, 2013 It is known that any normed vector space which satisfies the parallelogram law is actually an inner product space. For finite dimensional normed vector spaces over R, we formulate an approximate version of this theorem: if a space approximately satisfies
Passer, Benjamin
core +1 more source
Some remarks on generalised lush spaces [PDF]
, 2013 X. Huang et al. recently introduced the notion of generalised lush (GL) spaces, which, at least for separable spaces, is a generalisation of the concept of lushness introduced by K. Boyko et al. in 2007. The main result of Huang et al.
Jan-David Hardtke
semanticscholar +1 more source
Isometries and approximate isometries
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 2, Page 73-91, 2001., 2001 Some properties of isometric mappings as well as approximate isometries are studied.
Themistocles M. Rassias
wiley +1 more source
Maps on positive definite matrices preserving Bregman and Jensen divergences [PDF]
, 2015 In this paper we determine those bijective maps of the set of all positive definite $n\times n$ complex matrices which preserve a given Bregman divergence corresponding to a differentiable convex function that satisfies certain conditions.
Molnár, Lajos +2 more
core +2 more sources
On non-L0-linear perturbations of random isometries in random normed modules
Journal of Inequalities and Applications, 2014 The purpose of this paper is to study non-L0-linear perturbations of random isometries in random normed modules. Let (Ω,F,P) be a probability space, K the scalar field R of real numbers or C of complex numbers, L0(F,K) the equivalence classes of K-valued
Shien Zhao, Yuan-e Zhao, Ming-Jia Yao
semanticscholar +2 more sources