Results 1 to 10 of about 565 (36)
On the size of approximately convex sets in normed spaces
, 1999 Let X be a normed space. A subset A of X is approximately convex if $d(ta+(1-t)b,A) \le 1$ for all $a,b \in A$ and $t \in [0,1]$ where $d(x,A)$ is the distance of $x$ to $A$. Let $\Co(A)$ be the convex hull and $\diam(A)$ the diameter of $A$.
Dilworth, S. J. +2 more
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7th ESACP Congress in Caen April 1–5, 2001
, 2001 Analytical Cellular Pathology, Volume 22, Issue 1-2, Page 1-101, 2001.
wiley +1 more source
Biomolecular Topology: Modelling and Analysis. [PDF]
Acta Math Sin Engl Ser, 2022 Liu J, Xia KL, Wu J, Yau SS, Wei GW.
europepmc +1 more source
Refined stability of additive and quadratic functional equations in modular spaces. [PDF]
J Inequal Appl, 2017 Kim HM, Shin HY.
europepmc +1 more source
On the Mazur-Ulam problem in non-Archimedean fuzzy 2-normed spaces [PDF]
, 2013 Dongseung Kang, Heejeong Koh
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Every commutative JB∗‑triple satisfies the complex Mazur–Ulam property [PDF]
, 2022 We prove that every commutative JB*-triple, represented as a space of continuous functions C-0(T)(L), satisfies the complex Mazur-Ulam property, that is, every surjective isometry from the unit sphere of C-0(T)(L) onto the unit sphere of any complex ...
Cabezas, David +1 more
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The Mazur-Ulam property for a Banach space which satisfies a separation condition (Research on preserver problems on Banach algebras and related topics) [PDF]
, 2023 After some preparations in section 1, we recall the three well known concepts: the Choquet boundary, the Šilov boundary, and the strong boundary points in section 2. We need to define them by avoiding the confusion which appears because of the variety of
HATORI, Osamu
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A contribution to the Aleksandrov conservative distance problem in two dimensions [PDF]
, 2015 Let $E$ be a two-dimensional real normed space. In this paper we show that if the unit circle of $E$ does not contain any line segment such that the distance between its endpoints is greater than 1, then every transformation $\phi\colon E\to E$ which ...
Gehér, György Pál
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On $n$-norm preservers and the Aleksandrov conservative $n$-distance problem [PDF]
, 2017 The goal of this paper is to point out that the results obtained in the recent papers [7,8,10,11] can be seriously strengthened in the sense that we can significantly relax the assumptions of the main results so that we still get the same conclusions. In
Gehér, Gy. P.
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