3 papers
math.FA2009
A Tropical Version of the Schauder Fixed Point Theorem
G. B. Shpiz, G. L. Litvinov
A tropical version of the Schauder fixed point theorem for compact subsets of tropical linear spaces is proved.
math.FA2006
Kernel theorems and nuclearity in idempotent mathematics. An algebraic approach
G. L. Litvinov, G. B. Shpiz
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 s…
math-ph2005
The dequantization transform and generalized Newton polytopes
G. L. Litvinov, G. B. Shpiz
For functions defined on C^n or (R_+)^n we construct a dequantization transform, which is closely related to the Maslov dequantization. The subdifferential at the origin of a dequa…