Old and new challenges in Hadamard spaces

作者: Miroslav Bacak

DOI:

关键词: Metric (mathematics)Geometric group theoryHadamard spaceHadamard transformConjectureAlgebraMathematicsSubmodular set functionConvex analysisMathematical proof

摘要: Hadamard spaces have traditionally played important roles in geometry and geometric group theory. More recently, they have additionally turned out to be a suitable framework for …

参考文章(146)
Simeon Reich, Itai Shafrir, Nonexpansive iterations in hyperbolic spaces Nonlinear Analysis: Theory, Methods & Applications. ,vol. 15, pp. 537- 558 ,(1990) , 10.1016/0362-546X(90)90058-O
Miroslav Bačák, Convergence of nonlinear semigroups under nonpositive curvature Transactions of the American Mathematical Society. ,vol. 367, pp. 3929- 3953 ,(2015) , 10.1090/S0002-9947-2015-06087-5
Dimitri P. Bertsekas, Incremental proximal methods for large scale convex optimization Mathematical Programming. ,vol. 129, pp. 163- 195 ,(2011) , 10.1007/S10107-011-0472-0
H Brezis, A Pazy, Convergence and approximation of semigroups of nonlinear operators in Banach spaces Journal of Functional Analysis. ,vol. 9, pp. 63- 74 ,(1972) , 10.1016/0022-1236(72)90014-6
J. Bourgain, V. Milman, H. Wolfson, On type of metric spaces Transactions of the American Mathematical Society. ,vol. 294, pp. 295- 317 ,(1986) , 10.1090/S0002-9947-1986-0819949-8
Hale Trotter, Approximation of semi-groups of operators Pacific Journal of Mathematics. ,vol. 8, pp. 887- 919 ,(1958) , 10.2140/PJM.1958.8.887
Miroslav Bačák, Simeon Reich, The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces Journal of Fixed Point Theory and Applications. ,vol. 16, pp. 189- 202 ,(2014) , 10.1007/S11784-014-0202-3
Tosio KATO, Kyuya MASUDA, Trotter's product formula for nonlinear semigroups generated by the subdifferentials of convex functionals Journal of The Mathematical Society of Japan. ,vol. 30, pp. 169- 178 ,(1978) , 10.2969/JMSJ/03010169
Ronald E Bruck, Asymptotic convergence of nonlinear contraction semigroups in Hilbert space Journal of Functional Analysis. ,vol. 18, pp. 15- 26 ,(1975) , 10.1016/0022-1236(75)90027-0