ISOMETRIES

作品数：40被引量：82H指数：5
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Boundary Regularity of Isometries Between Infinitely Flat Complex Domains
《Acta Mathematica Sinica,English Series》2024年第6期1375-1387,共13页Jin Song LIU Fei TAO Hong Yu WANG 
supported by National Key R&D Program of China(Grant No.2021YFA1003100);NSFC(Grant Nos.11925107 and 12226334);Key Research Program of Frontier Sciences,CAS(Grant No.ZDBS-LY-7002);supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021YFA1002200);NSFC(Grant No.12201059)。
In this paper we prove that isometries with respect to the Kobayashi metric between certain domains having boundary points at which the boundary is infinitely flat extend continuously to the boundary.The strategy is t...
关键词：Boundary extension Kobayashi metric ISOMETRIES 
Specht Triangle Approximation of Large Bending Isometries
《Annals of Applied Mathematics》2023年第4期544-569,共26页Xiang Li Pingbing Ming 
supported by National Natural Science Foundation of China through Grants No.11971467 and No.12371438.
We propose a Specht triangle discretization for a geometrically nonlinear Kirchhoff plate model with large bending isometry.A combination of an adaptive time-stepping gradient flow and a Newton’s method is employed t...
关键词：Specht triangle plate bending isometry constraint adaptive time-stepping gradient flow 
Surjective Lp-isometries on Grassmann spaces
《Science China Mathematics》2023年第9期2105-2118,共14页Wenhua Qian Junhao Shen Weijuan Shi Wenming Wu Wei Yuan 
supported by the Science and Technology Research Program of Chongqing Municipal Education Commission(Grant No.KJQN2021000529);the Natural Science Foundation of Chongqing Science and Technology Commission(Grant No.cstc2020jcyj-msxm X0723);supported by Young Talent Fund of University Association for Science and Technology in Shaanxi(Grant No.20210507);supported by National Natural Science Foundation of China(Grant Nos.11871127and 11971463);supported by National Natural Science Foundation of China(Grant Nos.11971463,11871303 and 11871127)。
Letϕ:Pc(M1)→Pc(M2)be a surjective Lp-isometry between Grassmann spaces of projections with the trace value c in semifinite factors M1 and M2.Based on the characterization of surjective Lp-isometries of unitary groups...
关键词：surjective L^(p)-isometry unitary group Grassmann space semifinite factor 
COARSE ISOMETRIES BETWEEN FINITE DIMENSIONAL BANACH SPACES
《Acta Mathematica Scientia》2021年第5期1493-1502,共10页Yuqi SUN Wen ZHANG 
Supported by National Natural Science Foundation of China(11731010 and 12071388)。
Assume that X and Y are real Banach spaces with the same finite dimension.In this paper we show that if a standard coarse isometry f:X→Y satisfies an integral convergence condition or weak stability on a basis,then t...
关键词：coarse isometry linear isometry finite dimensional Banach spaces 
Isometries for the modulus metric in higher dimensions are conformal mappings
《Science China Mathematics》2021年第9期1951-1958,共8页Xiaohui Zhang 
supported by National Natural Science Foundation of China(Grant Nos.11771400 and 11911530457);Science Foundation of Zhejiang Sci-Tech University(Grant No.16062023Y)。
for a proper subdomain D of R^(n) and for all x,y∈D defineμD(x,y)=infC_(xy)Cap(D,C_(xy)),where the infimum is taken over all curves Cxy=γ[0,1]in D withγ(0)=x andγ(1)=y,and Cap denotes the conformal capacity of co...
关键词：capacity modulus metric ISOMETRY M?bius transformation 
Surjective L^(2)-isometries on the Projection Lattice
《Acta Mathematica Sinica,English Series》2021年第5期825-834,共10页Li Guang WANG Wen Ming WU Wei YUAN 
supported in part by NFS of China(Grant Nos.11871303,11971463,11671133);supported in part by NFS of China(Grant Nos.11871127,11971463);supported in part by NFS of China(Grant Nos.11871303,11871127,11971463);NSF of Shandong Province(Grant No.ZR2019MA039);Chongqing Science and Technology Commission(Grant No.cstc2019jcyj-msxm X0256)。
Recently,Gehér and Semrl have characterized the general form of surjective isometries of the set of all projections on an infinite-dimensional separable Hilbert space using unitaries and antiunitaries.In this paper,w...
关键词：Wigner's theorem L^(2)-isometries projections tracial weight 
STABILITY OF ε-ISOMETRIES ON L_∞-SPACES
《Acta Mathematica Scientia》2019年第6期1733-1742,共10页Duanxu DAI 
supported by the Natural Science Foundation of China(11601264);the Natural Science Foundation of Fujian Province of China(2019J05103);the Outstanding Youth Scientific Research Personnel Training Program of Fujian Province;the High level Talents Innovation and Entrepreneurship Project of Quanzhou City(2017Z032)
In this article,we discuss the stability ofε-isometries for L∞,λ-spaces.Indeed,we first study the relationship among separably injectivity,injectivity,cardinality injectivity and universally left stability of L∞,...
关键词：STABILITY ε-isometry L∞-space 
STABILITY OF A PAIR OF BANACH SPACES FOR ε-ISOMETRIES被引量：1
《Acta Mathematica Scientia》2019年第4期1163-1172,共10页Duanxu DAI Bentuo ZHENG 
supported in part by NSFC(11601264,11471270 and 11471271);the Fundamental Research Funds for the Central Universities(20720160037);the Outstanding Youth Scientific Research Personnel Training Program of Fujian Province;the High level Talents Innovation and Entrepreneurship Project of Quanzhou City(2017Z032);the Research Foundation of Quanzhou Normal University(2016YYKJ12);the Natural Science Foundation of Fujian Province of China(2019J05103);supported in part by NSFC(11628102)
A pair of Banach spaces (X, Y) is said to be stable if for every ￡-isometry f : X→Y,there exist γ> 0 and a bounded linear operator T : L(f)→X with ||T||≤α such that ||Tf(x)- x||≤γε for all x ∈ X, where L(f) ...
关键词：STABILITY ε-isometry Figiel THEOREM BANACH space 
A solution to Tingley's problem for isometries between the unit spheres of compact C~*-algebras and JB~*-triples
《Science China Mathematics》2019年第3期553-568,共16页Antonio M.Peralta Ryotaro Tanaka 
supported by the Spanish Ministry of Economy and Competitiveness and European Regional Development Fund (Grant No. MTM2014-58984-P);Junta de Andalucía (Grant No. FQM375);Grants-in-Aid for Scientific Research (Grant No. 16J01162);Japan Society for the Promotion of Science
Let f : S(E) → S(B) be a surjective isometry between the unit spheres of two weakly compact JB*-triples not containing direct summands of rank less than or equal to 3. Suppose E has rank greater than or equal to 5. A...
关键词：Tingley’s PROBLEM extension of ISOMETRIES JB*-triples COMPACT OPERATORS 
Stability Characterizations of ε-isometries on Certain Banach Spaces被引量：2
《Acta Mathematica Sinica,English Series》2019年第1期123-134,共12页Li Xin CHENG Long Fa SUN 
supported in part by the Natural Science Foundation of China(Grant Nos.11731010,11471270&11471271)
Suppose that X, Y are two real Banach Spaces. We know that for a standard ε-isometry f : X → Y, the weak stability formula holds and by applying the formula we can induce a closed subspace N of *. In this paper, by ...
关键词：ε-isometry STABILITY hereditarily INDECOMPOSABLE SPACE quasi-reflexive SPACE BANACH SPACE 
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