40 citations · 52 across the 8 of their papers we have counts for
4 papers · 1 filter
Approximation Properties of Locally Convex Spaces and the Problem of Uniqueness of the Trace of a Linear Operator
Grigory L. Litvinov
In the present article, it is proved that every nuclear operator in a locally convex space E has a well-defined trace if E possesses the approximation property. However, even if a…
Integral geometry, hypergroups, and I.M. Gelfand's question
M. I. Graev, G. L. Litvinov
This note is an attempt to give an answer for the following old I.M. Gelfand's question: why some important problems of integral geometry (e.g., the Radon transform and others) are…
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.
Idempotent functional analysis: an algebraic approach
Grigory Litvinov, Viktor Maslov, Grigory Shpiz
In this paper we consider Idempotent Functional Analysis, an `abstract' version of Idempotent Analysis developed by V. P. Maslov and his collaborators. We give a review of the basi…