학술저널
Second Order Derivations on Cn [0, 1]
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 3, No. 1
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1990.0641 - 48 (8 pages)
- 0
Let D’ : Cn[0, 1] → M be a second order derivation from the Banach algebra of n times continuously differentiable functions on [0, 1] into a Banach Cn[0, 1]-module M and let D be the primitive of D’. If D’ is continuous and D’(z) lies in the 1-differential subspace, then it is completely determined by D(z) and D’(z) where z(t) = t, 0 ≤ t ≤ 1.
ABSTRACT
1. Introduction
2. Second order derivations
3. The structure of second order derivations
4. The continuity ideals and ranges of second order derivations
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