Operator Lipschitz Functions in Several Variables and Möbius Transformations
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2520-4 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2520-4 | ||
| 100 | 1 | |a Aleksandrov |D A. |u St.Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia |4 aut | |
| 245 | 1 | 0 | |a Operator Lipschitz Functions in Several Variables and Möbius Transformations |h [Elektronische Daten] |c [A. Aleksandrov] |
| 520 | 3 | |a It is proved that if f is an operator Lipschitz function defined on ℝ n , then the function f ∘ φ φ ′ $$ \frac{f\circ \varphi }{\left\Vert {\varphi}^{\prime}\right\Vert } $$ is also operator Lipschitz for every Möbius transformation φ with f(φ(∞)) = 0. Here ‖φ′‖ denotes the operator norm of the Jacobian matrix φ′ Similar statements for operator Lipschitz functions defined on closed subsets of ℝ n are also obtained. Bibliography: 10 titles. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/5(2015-09-01), 665-682 |x 1072-3374 |q 209:5<665 |1 2015 |2 209 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2520-4 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2520-4 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Aleksandrov |D A. |u St.Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 209/5(2015-09-01), 665-682 |x 1072-3374 |q 209:5<665 |1 2015 |2 209 |o 10958 | ||