Under the condition that the unit ball has sufficiently many extreme points, every 2-local nonlinear surjective isometry on a normed space is affine.
Selected preserver problems on algebraic s tructures of linear operators and on function spaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.FA 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On 2-local nonlinear surjective isometries on normed spaces and C$^*$-algebras
Under the condition that the unit ball has sufficiently many extreme points, every 2-local nonlinear surjective isometry on a normed space is affine.