M. Belishev

activity

20102026

most citedUnified approach to classical equations of inverse problem theory

28 citations · 93 across the 40 of their papers we have counts for

collaborators

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4 papers · 1 filter

math.FA2025

On stability of triangular factorization of positive operators

M. I. Belishev, A. F. Vakulenko

Let $f = {F_{s}}_{s > 0}$ be a nest and $C$ a bounded positive operator in a Hilbert space $F$ . The representation $C = V^{*} V$ provided $V\mathscr F_s\subset\m…

math.FA2019

The wave model of metric spaces

M. I. Belishev, S. A. Simonov

Let $Ω$ be a metric space, $A^{t}$ denote the metric neighborhood of the set $A \subset Ω$ of the radius $t$ ; $O$ be the lattice of open sets in $Ω$ with the partial order…

math.FA2012★ 1 cited

A unitary invariant of semi-bounded operator in reconstruction of manifolds

M. I. Belishev

With a densely defined symmetric semi-bounded operator of nonzero defect indexes $L_{0}$ in a separable Hilbert space $H$ we associate a topological space $Ω_{L_{0}}$ ({\it wave…

math.FA2010★ 1 cited

An unitary invariant of semi-bounded operator and its application to inverse problems

M. I. Belishev

Let $L_{0}$ be a closed densely defined symmetric semi-bounded operator with nonzero defect indexes in a separable Hilbert space $H$ . With $L_{0}$ we associate a metric space $Ω…