Results 31 to 40 of about 631 (76)
Mazur-Ulam type theorems for fuzzy normed spaces [PDF]
, 2017 In this paper, we provide Mazur-Ulam type results for (not necessarily surjective) maps preserving equality of fuzzy distance defined between two fuzzy normed spaces. Our main goal is to study the additivity of such generalizations of fuzzy isometries.
Font, Juan J. +3 more
core +2 more sources
Multiplicative Isometries on Some F‐Algebras of Holomorphic Functions
Journal of Function Spaces, Volume 2013, Issue 1, 2013., 2013 Multiplicative (but not necessarily linear) isometries of Mp(X) onto Mp(X) will be described, where Mp(X) (p ≥ 1) are F‐algebras included in the Smirnov class N∗(X).
Yasuo Iida +2 more
wiley +1 more source
The endpoint multilinear Kakeya theorem via the Borsuk--Ulam theorem [PDF]
, 2012 We give an essentially self-contained proof of Guth's recent endpoint multilinear Kakeya theorem which avoids the use of somewhat sophisticated algebraic topology, and which instead appeals to the Borsuk-Ulam ...
Anthony Carbery +12 more
core +2 more sources
, 2023 The principal result in this note is a strengthened version of Kadison's transitivity theorem for unital JB$^*$-algebras, showing that for each minimal tripotent $e$ in the bidual, $\mathfrak{A}^{**}$, of a unital JB$^*$-algebra $\mathfrak{A}$, there exists a self-adjoint element $h$ in $\mathfrak{A}$ satisfying $e\leq \exp(ih)$, that is, $e$ is ...
Peralta, Antonio M., Švarc, Radovan
openaire +2 more sources
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
The core of the unit sphere of a Banach space
AIMS MathematicsA geometric invariant or preserver is essentially a geometric property of the unit sphere of a real Banach space that remains invariant under the action of a surjective isometry onto the unit sphere of another real Banach space. A new geometric invariant
Almudena Campos-Jiménez +1 more
doaj +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