Results 21 to 30 of about 565 (36)
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 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
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
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
On a generalized Mazur–Ulam question: Extension of isometries between unit spheres of Banach spaces [PDF]
We call a Banach space X admitting the Mazur–Ulam property (MUP) provided that for any Banach space Y, if f is an onto isometry between the two unit spheres of X and Y, then it is the restriction of a linear isometry between the two spaces. A generalized
Cheng, Lixin, Dong, Yunbai
core +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
Cuntz semigroups of compact-type Hopf C*-algebras
, 2017 The classical Cuntz semigroup has an important role in the study of C*-algebras, being one of the main invariants used to classify recalcitrant C*-algebras up to isomorphism.
Kucerovsky, Dan
core +2 more sources
Seven views on approximate convexity and the geometry of K-spaces
, 2005 As in Hokusai's series of paintings "Thirty six views of mount Fuji" in which mount Fuji's is sometimes scarcely visible, the central topic of this paper is the geometry of $K$-spaces although in some of the seven views presented $K$-spaces are not ...
Castillo, Jesus M. F. +2 more
core +2 more sources