Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach
Functional Analysis
2007-05-23 v1
Abstract
In the framework of idempotent mathematics, analogs of the classical kernel theorems of L. Schwartz and A. Grothendieck are studied. Idempotent versions of nuclear spaces (in the sense of A. Grothendieck) are discussed. The so-called algebraic approach is used. This means that the basic concepts and results (including those of "topological" nature) are simulated in purely algebraic terms.
Cite
@article{arxiv.math/0609033,
title = {Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach},
author = {G. L. Litvinov and G. B. Shpiz},
journal= {arXiv preprint arXiv:math/0609033},
year = {2007}
}
Comments
25 pages