7 citations · 7 across the 2 of their papers we have counts for
4 papers · 1 filter
Nuclear semimodules and kernel theorems in idempotent analysis. An algebraic approach
Grigori Litvinov, Grigori Shpiz
In this note we describe conditions under which, in idempotent functional analysis, linear operators have integral representations in terms of idempotent integral of V. P. Maslov.…
A theorem on eigenvectors in idempotent spaces
Grigori Shpiz
This paper suggests an algebraic version of the theorem on the existence of eigenvectors for linear operators in abstract idempotent spaces. Earlier, the theorem on the existence o…
Tensor products of idempotent semimodules. An algebraic approach
Grigori Litvinov, Viktor Maslov, Grigori Shpiz
We study idempotent analogs of topological tensor products in the sense of A. Grothendieck. The basic concepts and results are simulated on the algebraic level. This is one of a se…
Linear functionals on idempotent spaces: an algebraic approach
Grigori Litvinov, Victor Maslov, Grigori Shpiz
In this paper, we present an algebraic approach to idempotent functional analysis, which is an abstract version of idempotent analysis. The basic concepts and results are expressed…