Singular integral models for p-hyponormal operators and the Riemann-Hilbert problem
The purpose of this paper is to give singular integral models for p-hyponormal operators and apply them to the Riemann-Hilbert problem.
Singular integral operators on manifolds with a boundary.
Singular integral operators on Nakano spaces with weights having finite sets of discontinuities
In 1968, Gohberg and Krupnik found a Fredholm criterion for singular integral operators of the form aP + bQ, where a,b are piecewise continuous functions and P,Q are complementary projections associated to the Cauchy singular integral operator, acting on Lebesgue spaces over Lyapunov curves. We extend this result to the case of Nakano spaces (also known as variable Lebesgue spaces) with certain weights having finite sets of discontinuities on arbitrary Carleson curves.
Singular integrals in weighted Lebesgue spaces with variable exponent.
Singular integrals supported on the image of an analytic function.
Singular sets and number of solutions of nonlinear boundary value problems
Singular Value Estimates for Certain Convolution-Product Operators.
Slant Hankel operators
In this paper the notion of slant Hankel operator , with symbol in , on the space , being the unit circle, is introduced. The matrix of the slant Hankel operator with respect to the usual basis of the space is given by , where is the Fourier expansion of . Some algebraic properties such as the norm, compactness of the operator are discussed. Along with the algebraic properties some spectral properties of such operators are discussed. Precisely, it is proved that for an invertible...
Slowly oscillating perturbations of periodic Jacobi operators in l²(ℕ)
We prove that the absolutely continuous part of the periodic Jacobi operator does not change (modulo unitary equivalence) under additive perturbations by compact Jacobi operators with weights and diagonals defined in terms of the Stolz classes of slowly oscillating sequences. This result substantially generalizes many previous results, e.g., the one which can be obtained directly by the abstract trace class perturbation theorem of Kato-Rosenblum. It also generalizes several results concerning perturbations...
Small ball properties for Fréchet spaces.
We give characterizations of certain properties of continuous linear maps between Fréchet spaces, as well as topological properties on Fréchet spaces, in terms of generalizations of Behrends and Kadets small ball property.
Small bound isomorphisms of the domain of a closed *-derivation.
Small ideals of operators
Small operators between Banach and Hilbert spaces
Small sets and hypercyclic vectors
We study the ``smallness'' of the set of non-hypercyclic vectors for some classical hypercyclic operators.
Smooth operators and commutators
Smooth operators in the commutant of a contraction
For a completely non-unitary contraction T, some necessary (and, in certain cases, sufficient) conditions are found for the range of the calculus, , and the commutant, T’, to contain non-zero compact operators, and for the finite rank operators of T’ to be dense in the set of compact operators of T’. A sufficient condition is given for T’ to contain non-zero operators from the Schatten-von Neumann classes .
s-numbers, eigenvalues and the trace theorem in Banach spaces
s-numbers of diagonal operators and Besov embeddings
s-Numbers of operators in Banach spaces
Sobolev multipliers