On isometric extension problem between two unit spheres

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Cite
Ding, GuangGui. “On Isometric Extension Problem Between Two Unit Spheres”. Science in China Series A: Mathematics, vol. 52, no. 10, 2009, pp. 2069-83, https://doi.org/10.1007/s11425-009-0156-x.
Ding, G. (2009). On isometric extension problem between two unit spheres. Science in China Series A: Mathematics, 52(10), 2069-2083. https://doi.org/10.1007/s11425-009-0156-x
Ding, GuangGui. “On Isometric Extension Problem Between Two Unit Spheres”. Science in China Series A: Mathematics 52, no. 10 (2009): 2069-83. https://doi.org/10.1007/s11425-009-0156-x.
Ding G. On isometric extension problem between two unit spheres. Science in China Series A: Mathematics. 2009;52(10):2069-83.
Refrences
Title Journal Journal Categories Citations Publication Date
The isometric extension of the into mapping from the unit sphere S 1(E) to S 1(l ∞(Γ)) Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 10 2008
The isometric extension of the into mapping from a $\scr L\sp \infty(\Gamma)$-type space to some Banach space Illinois Journal of Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 31 2007
Extension of Isometries Between the Unit Spheres of Normed Space E and C (Ω) Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 39 2006
10.1090/S0002-9939-04-07482-9 Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2004
The Representation Theorem of onto Isometric Mappings between Two Unit Spheres of l 1(Γ) Type Spaces and The Application to the Isometric Extension Problem Acta Mathematica Sinica, English Series
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 33 2004
Refrences Analysis
Category Category Repetition
Science: Mathematics6
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods5
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Mathematical Analysis and Applications and Geometriae Dedicata. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
On Extension of Norm-Additive Maps Between the Positive Unit Spheres of $$\ell _q(\ell _p)$$ Results in Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
On extension of isometries between the positive unit spheres of $$c_0(\Gamma )$$ Indian Journal of Pure and Applied Mathematics
  • Science: Mathematics
 2024
Order type Tingley's problem for type I finite von Neumann algebras Journal of Mathematical Analysis and Applications
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2024
Extension of quasi-H$$\ddot{\text {o}}$$lder embeddings between unit spheres of p-normed spaces Annals of Functional Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Extension of isometries between the unit spheres of p-normed spaces Annals of Functional Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2022
Citations Analysis
Category Category Repetition
Science: Mathematics43
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods31
The category Science: Mathematics 43 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Extension of isometries on the unit sphere of l p (Γ) space and was published in 2010. The most recent citation comes from a 2024 study titled On Extension of Norm-Additive Maps Between the Positive Unit Spheres of $$\ell _q(\ell _p)$$. This article reached its peak citation in 2018, with 7 citations. It has been cited in 23 different journals, 8% of which are open access. Among related journals, the Journal of Mathematical Analysis and Applications cited this research the most, with 13 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year