Boundary value problems in domains with peaks.
Bounded point evaluations for multicyclic operators
Let T be a multicyclic operator defined on some Banach space. Bounded point evaluations and analytic bounded point evaluations for T are defined to generalize the cyclic case. We extend some known results on cyclic operators to the more general setting of multicyclic operators on Banach spaces. In particular we show that if T satisfies Bishop’s property (β), then . We introduce the concept of analytic structures and we link it to different spectral quantities. We apply this concept to retrieve...
Boundedness and growth orders of means of discrete and continuous semigroups of operators
We discuss implication relations for boundedness and growth orders of Cesàro means and Abel means of discrete semigroups and continuous semigroups of linear operators. Counterexamples are constructed to show that implication relations between two Cesàro means of different orders or between Cesàro means and Abel means are in general strict, except when the space has dimension one or two.
Boundedness for multilinear Marcinkiewicz operators on certain Hardy spaces.
Boundedness in dilation theory
Boundedness of sublinear operators on the homogeneous Herz spaces.
Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.
Boundedness of the Bragg-Dettman transmutation operator and applications.
Boundedness properties of resolvents and semigroups of operators
Let T: H → H be an operator in the complex Hilbert space H. Suppose that T is square bounded in average in the sense that there exists a constant M(T) with the property that, for all natural numbers n and for all x ∈ H, the inequality is satisfied. Also suppose that the adjoint T* of the operator T is square bounded in average with constant M(T*). Then the operator T is power bounded in the sense that is finite. In fact the following inequality is valid for all n ∈ ℕ: ∥Tn∥ ≤ e M(T)M(T*). Suppose...
Bounds for Fractional Powers of Operators in a Hilbert Space and Constants in Moment Inequalities
Mathematics Subject Classification: 47A56, 47A57,47A63We derive bounds for the norms of the fractional powers of operators with compact Hermitian components, and operators having compact inverses in a separable Hilbert space. Moreover, for these operators, as well as for dissipative operators, the constants in the moment inequalities are established.* This research was supported by the Kamea Fund of Israel.
Bounds for the singular values of smooth kernels
Bounds for the spectral radius of positive operators
Let be a non-zero positive vector of a Banach lattice , and let be a positive linear operator on with the spectral radius . We find some groups of assumptions on , and under which the inequalities hold. An application of our results gives simple upper and lower bounds for the spectral radius of a product of positive operators in terms of positive eigenvectors corresponding to the spectral radii of given operators. We thus extend the matrix result obtained by Johnson and Bru which...
Bounds for total antieigenvalue of a normal operator.
Brève communication. Régularisation d'inéquations variationnelles par approximations successives
Browder Riesz-Schauder theory for polynomially finite rank linear relations
We describe the Browder Riesz-Schauder theory of compact operators in Banach spaces in the context of polynomially finite rank linear relations in Banach spaces.
Browder's theorems and the spectral mapping theorem.
Brushlet characterization of the Hardy space H1(R) and the space BMO.
A typical wavelet system constitutes an unconditional basis for various function spaces -Lebesgue, Besov, Triebel-Lizorkin, Hardy, BMO. One of the main reasons is the frequency localization of an element from such a basis. In this paper we study a wavelet-type system, called a brushlet system. In [3] it was noticed that brushlets constitute unconditional bases for classical function spaces such as the Triebel-Lizorkin and Besov spaces. In this paper we study brushlet expansions of functions in the...
Burnside's Theorem for the Fréchet Space .
-Scalar operators on cyclic spaces
-algebras of operators on a half-space, II. Index theory
C0-Fredholm operators (IV).
The purpose of this paper is to develop, in the context of operators of class C0, a theory of Fredholm complexes analogous to that in [6], including an index stability result under perturbations. As a by-product, a simple proof of the additivity of the index for C0-Fredholm operators will be given.