15 citations · 20 across the 11 of their papers we have counts for
13 papers
On a metric on the space of monetary risk measures
Sh. A. Ayupov, A. A. Zaitov
We introduce a metric on the space of monetary risk measure, which generates the point-wise convergence topology and extends the metric on the initial compactum.
On metrisation of the space of idempotent probability measures
Adilbek Atakhanovich Zaitov
In this paper we introduce a metrics on the space of idempotent probability measures on a given compactum, which extends the metrics on the compactum. It is proven the introduced m…
Order-Preserving Variants of The Basic Principles of Functional Analysis
A. A. Zaitov
We established order-preserving versions of the basic principles of functional analysis such as Hahn-Banach, Banach-Steinhaus, open mapping and Banach-Alaoglu theorems.
Geometrical properties of the space of idempotent probability measures
Adilbek Zaitov, Kholsaid Kholturaev
We establish some geometrical properties of the space of idempotent probability measures. In particular, for a compact it is established that if the space $I_{3}(X)\backslash X…
Hyperspaces of superparacompact spaces and continuous maps
Adilbek Zaitov, Davron Jumaev
In the present paper we establish that the space of compact subsets of a Tychonoff space is superparacompact iff is so. Further, we prove the Tychonoff map $\exp_…
Geometrical properties of the space of probability measures
A. A. Zaitov
In this paper we prove that for a compact space inclusion holds if and only if . Further, it is shown that the functor preserves property of…