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Methods of Functional Analysis and Topology
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Methods of Functional Analysis and Topology, 2009
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Перегляд Methods of Functional Analysis and Topology, 2009 за назвою

Перегляд Methods of Functional Analysis and Topology, 2009 за назвою

Результати 1-16 з 16

About *-Representations of Polynomial Semilinear Relations

Omel'chenko, P.V. (2009)

In the present paper we study *-representations of semilinear relations with polynomial characteristic functions. For any finite simple non-oriented graph Г we construct a polynomial characteristic function such that Г is ...
A Class of Distal Functions on Semitopological Semigroups

Jabbari, A.; Vishki, H.R.E. (2009)

The norm closure of the algebra generated by the set {n→λ^nk : λ belongs T and k belongs N} of functions on (Z,+) was studied in [11] (and was named as the Weyl algebra). In this paper, by a fruitful result of Namioka, ...
Algebras of Unbounded Operators over the Ring of Measurable Functions and Their Derivations and Automorphisms

Albeverio, S.; Ayupov, Sh.A.; Zaitov, A.A.; Ruziev, J.E. (2009)

In the present paper derivations and *-automorphisms of algebras of unbounded operators over the ring of measurable functions are investigated and it is shown that all Lº-linear derivations and Lº-linear *-automorphisms ...
Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral

Orlov, I.V.; Stonyakin, F.S. (2009)

The notions of compact convex variation and compact convex subdifferential for the mappings from a segment into a locally convex space (LCS) are studied. In the case of an arbitrary complete LCS, each indefinite Bochner ...
Direct Spectral Problem for the Generalized Jacobi Hermitian Matrices

Ivasiuk, I.Ya (2009)

In this article we will introduce and investigate some generalized Jacobi matrices. These matrices have three-diagonal block structure and they are Hermitian. We will give necessary and sufficient conditions for selfadjointness ...
Expansion in Eigenfunctions of Relations Generated by Pair of Operator Differential Expressions

Khrabustovskyi, V. (2009)

For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these ...
Extension of Some Lions-Magenes Theorems

Murach, A.A. (2009)

A general form of the Lions - Magenes theorems on solvability of an elliptic boundary-value problem in the spaces of nonregular distributions is proved. We find a general condition on the space of right-hand sides of the ...
Integral Representations for Spectral Functions of Some Nonself-Adjoint Jacobi Matrices

Zagorodnyuk, S.M. (2009)

We study a Jacobi matrix J with complex numbers an, n belongs Z+, in the main diagonal such that r0 ≤ Im an ≤ r1, r0, r1 belongs Z+. We obtain an integral representation for the (generalized) spectral function of the matrix ...
Inverse Eigenvalue Problems for Nonlocal Sturm-Liouville Operators

Nizhnik, L.P. (2009)

We solve the inverse spectral problem for a class of Sturm - Liouville operators with singular nonlocal potentials and nonlocal boundary conditions.
Necessary and Sufficient Condition for Solvability of a Partial Integral Equation

Eshkabilov, Yu.Kh. (2009)
On n-Tuples of Subspaces in Linear and Unitary Spaces

Samoilenko, Yu.S.; Yakymenko, D.Yu. (2009)

We study a relation between brick n-tuples of subspaces of a finite dimensional linear space, and irreducible n-tuples of subspaces of a finite dimensional Hilbert (unitary) space such that a linear combination, with ...
On the Group of Foliation Isometries

Narmanov, A.Yu.; Sharipov, A.S. (2009)

The purpose of our paper is to introduce some topology on the group GrF(M) of all Cr-isometries of foliated manifold (M, F), which depends on a foliation F and coincides with compact-open topology when F is an n-dimensional ...
Origination of the Singular Continuous Spectrum in the Conflict Dynamical Systems

Karataieva, T.; Koshmanenko, V. (2009)

We study the spectral properties of the limiting measures in the conflict dynamical systems modeling the alternative interaction between opponents. It has been established that typical trajectories of such systems converge ...
Schrödinger Operators with Purely Discrete Spectrum

Simon, B. (2009)

We prove that −Δ+V has purely discrete spectrum if V ≥ 0 and, for all M, |{x | V (x)<M}| < ∞ and various extensions.
Spectral Gaps of the One-Dimensional Schrödinger Operators with Singular Periodic Potentials

Mikhailets, V.; Molyboga, V. (2009)
The Integration of Double-Infinite Toda Lattice by Means of Inverse Spectral Problem and Related Quetions

Berezansky, Yu. (2009)

The solution of the Cauchy problem for differential-difference double-infinite Toda lattice by means of inverse spectral problem for semi-infinite block Jacobi matrix is given. Namely, we construct a simple linear system ...

Результати 1-16 з 16

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Перегляд Methods of Functional Analysis and Topology, 2009 за назвою

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Перегляд Methods of Functional Analysis and Topology, 2009 за назвою

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