The Gateaux Derivative and Integral over Banach Algebra
arXiv:1006.2597
Abstract
In the paper I considered definition and structure of linear mapping of Banach algebra over commutative ring. Based on this definition I explore derivative of continuous mapping.
The paper is based on the talk on Spring Eastern Sectional Meeting in New Jersey Institute of Technology, May 22-23, 2010. English text - 54 pages; Russian text - 56 pages