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Symmetric operators with real defect subspaces of the maximal dimension. Applications to differential operators
Symmetric operator Defect subspace Self-adjoint extension
2011/2/22
Let H be a Hilbert space and let A be a simple symmetric operator in H with equal deficiency indices d := n±(A) < 1. We show that if, for all in an open interval I R, the dimension of defect subsp...
Functional equations for transfer-matrix operators in open Hecke chain models
Functional equations transfer-matrix operators open Hecke chain models
2010/4/6
We consider integrable open chain models formulated in terms of generators of affine Hecke algebras. The hierarchy of commutative elements (which are analogs of the commutative transfer-matrices) are ...
On Lp-Approximation by a Linear Combination of a New Sequence of Linear Positive Operators
Linear positive operators Linear combination Integral modulus of smoothness Steklov means
2010/3/1
In the present paper, we study some direct results in Lp -approximation by a linear combination of a new sequence of linear positive operators. The error in the approximation is estimated in terms of ...
SUPERPOSITION OPERATORS BETWEEN VARIOUS ALMOST PERIODIC FUNCTION SPACES AND APPLICATIONS
almost periodic function superposition operator evolution equation differential equation asymptotically almost periodic function almost automorphic function
2008/11/28
We study the superposition operators (also called Nemytskii operators) between spaces
of almost periodic functions with values in a complete metric space or in a Banach
space. We establish new resul...
LINEAR OPERATORS ON SOME NON-ARCHIMEDEAN HILBERT SPACES
Non-archimedean Hilbert space fractional non-archimedean Hilbert space bounded linear operator ]unbounded linear operator adjoint bounding family adj-family
2008/11/26
In this paper, we establish conditions under which a given well-defined linear operator
that is not bounded on a given non-archimedean Hilbert space would be well-defined
and bounded on another non-...
ON PICARD ITERATIVE PROPERTIES OF THE BERNSTEIN OPERATORS AND AN APPLICATION TO FUZZY NUMBERS
weakly Picard operators Bernstein operators good and special weakly Picard operators monotone iteration L-R fuzzy numbers
2008/11/26
In this paper we give some properties of good and special convergence (introduced
by L. d’Apuzzo in 1977) of the sequence of successive approximations associated
to the Bernstein operators of unifor...
GENERALIZED HANKEL OPERATORS ON THE WHITE NOISE DISTRIBUTIONS
Infinite dimensional entire functions with growth condition generalized Hankel operators and associated form symbol of operators
2008/11/26
In this paper we introduce and investigate Hankel operators on infinite dimensional
entire functionals with growth conditions. First, we prove that this generalized Hankel
operator is well defined a...
HANKEL OPERATORS ON THE ENTIRE TEST FUNCTIONS WITH GROWTH CONDITION
Young function infinite dimensional entire functions with growth condition Hankel operators symbol of operators convolution exponential of operator quantum stochastic differential equations
2008/11/25
The aim of this work is to introduce and study Hankel operators on infinite dimensional
space of entire functions with exponential growth conditions. First, we give
a necessary and sufficient condit...
Two-weight Norm Inequalities for Some Anisotropic Sublinear Operators
Weighted Lebesgue space sublinear operators anisotropic singular integral two-weighted inequality
2010/2/26
In this paper, we establish several general theorems for the boundedness of the anisotropic sublinear operators on a weighted Lebesgue space. Conditions of these theorems are satisfied by many importa...
Flat Marcinkiewicz Integral Operators
Marcinkiewicz Integral rough kernel flat curves Fourier transform
2010/3/1
In this paper, we study Marcinkiewicz integral operators with rough kernels supported by surfaces of revolutions. We prove that our operators are bounded on Lp under certain convexity assumptions on o...
Lp Boundedness of a Class of Singular Integral Operators with Rough Kernels
Singular integrals oscillatory integrals Fourier transform Lp boundedness rough kernels block spaces
2010/3/1
In this paper, we study the Lp mapping properties of singular integral operators with kernels belonging to certain block spaces. These operators have singularities along sets of the form {x=F (|y|)y'}...