JanuaryMarch, 2012
Volume 14, Issue 1
This issue is dedicated to the memory of Academician Leonid V. Kantorovich
(19.01.1912  07.04.1986), Laureate of the Stalin, Lenin and Nobel Prizes.
Signposts of the Life of Leonid V. Kantorovich
Article (rus.)  [pdf] [zippdf]
Mathematics and Economics in the Legacy of Leonid Kantorovich
Kutateladze S. S.
This is a short overview of the life of Leonid Kantorovich and
his contribution to the formation of the modern outlook on the interaction
between mathematics and economics.
Article (eng.)  [pdf] [zippdf]
Optimal recovery of a harmonic function from inaccurate information on the values of
the radial integration operator
Bagramyan T.
We consider the problem of optimal recovery of a harmonic function
in the unit ball from the inaccurate values of the radial
integration operator. Information on the values of the operator is
given as a function that differs from the exact values in the
meansquare metric not more than a fixed error, either in the form
of a finite set of Fourier coefficients calculated with a fixed
error in the mean square or uniform metric.
Article (rus.)  [pdf] [zippdf]
On ergodic properties of homogeneous Markov chains
Golovneva E. V.
In this paper we continue our investigations initiated in [1].
Namely, we study the spectrum of Kolmogorov matrices with at least
one column separated from zero. It is shown that
λ=0
is an eigenvalue
with multiplicity 1, while the rest of the spectrum is separated from zero. Therefore,
a Markov process generated by such a matrix converges to its uniquely defined
final distribution exponentially fast. We give an explicit estimate for the
rate of this convergence.
Article (rus.)  [pdf] [zippdf]
An example of using
Δ
1
terms in boolean valued analysis
Gutman A. E.
Syntactic tools related to
Δ
1
terms are demonstrated by application
to Boolean valued analysis. As an example, the question is considered of
what approaches to defining the field
ℝ
of reals and what
complete Boolean algebras
B
provide the explicit inclusion
ℝ^
⊂ℝ
inside
the Boolean valued universe
V
(B)
.
Article (rus.)  [pdf] [zippdf]
Some remarks on zeros of one class of harmonic functions
Korobeinik Yu. F.
It is shown that under some additional restrictions the method of the
paper [1] is applicable to a case that was left open.
Article (rus.)  [pdf] [zippdf]
Kantorovich's principle in action:
A
W
*
modules and injective Banach lattices
Kusraev A. G.
Making use of Boolean valued representation
it is proved that KaplanskyHilbert lattices and injective
Banach lattices may be produced from each other by means
of the convexification procedure. The relationship between
the Kantorovich's heuristic principle and the Boolean value transfer
principle is also discussed.
Article (eng.)  [pdf] [zippdf]
Extension of an almost
f
algebra multiplication
Chil E.
It is proved that an almost
f
algebra multiplication and a
d
algebra
multiplication defined on a majorizing vector sublattice of a
Dedekind complete vector lattice can be extended to the whole
vector lattice by using purely algebraic and order theoretical means.
Article (eng.)  [pdf] [zippdf]


conference: 
2011 №1, №2, №3, №4;
2010 №1, №2, №3, №4;
2009 №1, №2, №3, №4;
2008 №1, №2, №3, №4;
2007 №1, №2, №3, №4;
2006 №1, №2, №3, №4;
2005 №1, №2, №3, №4;
2004 №1, №2, №3, №4;
2003 №1, №2, №3, №4;
2002 №1, №2, №3, №4;
2001 №1, №2, №3, №4;
2000 №1, №2, №3, №4;
1999 №1, №2, №3, №4;

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