شماره ركورد كنفرانس :
3502
عنوان مقاله :
Norm-Additive Maps Between Spaces of Continuously Differentiable Functions
Author/Authors :
Maliheh Hosseini Faculty of Mathematics - K. N. Toosi University of Technology,Tehran, Iran
كليدواژه :
norm-additive map , continuously differentiable function , The Mazur-Ulam theorem
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let n be a natural number and C(n)(I) be the space of n-times continuously di_erentiable functions on the interval I = [0, 1]. We characterize norm-additive maps between these function spaces with respect to the complete norm ∥f∥n = max{|f(0)|, |f′(0)|, ..., |f(n−1)(0)|, ∥f(n)∥∞} (f ∈ C(n)(I)), where ∥ ・ ∥∞ denotes the supremum norm.
