A characterization of spectral operators of finite type
A characterization of the generators of analytic -semigroups in the class of scalar type spectral operators.
A characterization of the invertible measures
Let G be a locally compact abelian group and M(G) its measure algebra. Two measures μ and λ are said to be equivalent if there exists an invertible measure ϖ such that ϖ*μ = λ. The main result of this note is the following: A measure μ is invertible iff |μ̂| ≥ ε on Ĝ for some ε > 0 and μ is equivalent to a measure λ of the form λ = a + θ, where a ∈ L¹(G) and θ ∈ M(G) is an idempotent measure.
A class of Banach lattices and positive operators
A class of commutators for multilinear fractional integrals in nonhomogeneous spaces.
A class of integral operators on mixed norm spaces in the unit ball
This article provided some sufficient or necessary conditions for a class of integral operators to be bounded on mixed norm spaces in the unit ball.
A class of operators from a Banach lattice into a Banach space.
A class of pairs of weights related to the boundedness of the Fractional Integral Operator between and Lipschitz spaces
In [P] we characterize the pairs of weights for which the fractional integral operator of order from a weighted Lebesgue space into a suitable weighted and Lipschitz integral space is bounded. In this paper we consider other weighted Lipschitz integral spaces that contain those defined in [P], and we obtain results on pairs of weights related to the boundedness of acting from weighted Lebesgue spaces into these spaces. Also, we study the properties of those classes of weights and compare...
A class of tridiagonal operators associated to some subshifts
We consider a class of tridiagonal operators induced by not necessary pseudoergodic biinfinite sequences. Using only elementary techniques we prove that the numerical range of such operators is contained in the convex hull of the union of the numerical ranges of the operators corresponding to the constant biinfinite sequences; whilst the other inclusion is shown to hold when the constant sequences belong to the subshift generated by the given biinfinite sequence. Applying recent results by S. N....
A class of weighted composition operators on
A class of weighted convolution Fréchet algebras
For an increasing sequence (ωₙ) of algebra weights on ℝ⁺ we study various properties of the Fréchet algebra A(ω) = ⋂ ₙ L¹(ωₙ) obtained as the intersection of the weighted Banach algebras L¹(ωₙ). We show that every endomorphism of A(ω) is standard, if for all n ∈ ℕ there exists m ∈ ℕ such that as t → ∞. Moreover, we characterise the continuous derivations on this algebra: Let M(ωₙ) be the corresponding weighted measure algebras and let B(ω) = ⋂ ₙM(ωₙ). If for all n ∈ ℕ there exists m ∈ ℕ such that...
A Commutativity Theorem for Hermitian Operators.
A commutator theorem for fractional integrals in spaces of homogeneous type.
A compact evolution operator generated by a nonlinear time-dependent m-accretive operator in a Banach space.
A Compact Operator Characterization of l1.
A comprehensive proof of localization for continuous Anderson models with singular random potentials
We study continuous Anderson Hamiltonians with non-degenerate single site probability distribution of bounded support, without any regularity condition on the single site probability distribution. We prove the existence of a strong form of localization at the bottom of the spectrum, which includes Anderson localization (pure point spectrum with exponentially decaying eigenfunctions) with finite multiplicity of eigenvalues, dynamical localization (no spreading of wave packets under the time evolution),...
A conjecture about the Dunford-Pettis property
A continuation theorem for holomorphic mapping into a Hilbert space
A continuity in the weak topologies of a vector integral operator.
A Convergence Theorem for Selfadjoint Operators Applicable to Dirac Operators with Cutoff Potentials.