On the maximum principle for optimal control processes described by Hammerstein integral equations with weakly singular kernels
On the M-structure of the operator space L(CK)
On the non-existence of linear isomorphisms between Banach spaces of analytic functions of one and several complex variables
On the norm of certain weighted composition operators on the Hardy space.
On the orthogonal projections onto spaces of pluriharmonic functions and duality
On the sequential order continuity of the -space.
On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
On the space of integral Dirichlet functions of several complex variables
On the trigonometric conjugate to the general Franklin system
We investigate when the trigonometric conjugate to the periodic general Franklin system is a basis in C(𝕋). For this, we find some necessary and some sufficient conditions.
On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces
Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
On weighted spaces of functions harmonic in
The paper establishes integral representation formulas in arbitrarily wide Banach spaces of functions harmonic in the whole .
Operadores débilmente compactos e incondicionalmente convergentes en espacios de funciones continuas con valores vectoriales.
Operators determining the complete norm topology of C(K)
For any uniformly closed subalgebra A of C(K) for a compact Hausdorff space K without isolated points and , we show that every complete norm on A which makes continuous the multiplication by is equivalent to provided that has no interior points whenever λ lies in ℂ. Actually, these assertions are equivalent if A = C(K).
Operators on continuous function spaces and L1-spaces
Order isomorphisms on function spaces
The classical theorems of Banach and Stone (1932, 1937), Gelfand and Kolmogorov (1939) and Kaplansky (1947) show that a compact Hausdorff space X is uniquely determined by the linear isometric structure, the algebraic structure, and the lattice structure, respectively, of the space C(X). In this paper, it is shown that for rather general subspaces A(X) and A(Y) of C(X) and C(Y), respectively, any linear bijection T: A(X) → A(Y) such that f ≥ 0 if and only if Tf ≥ 0 gives rise to a homeomorphism...
Ordinal remainders of classical ψ-spaces
Let ω denote the set of natural numbers. We prove: for every mod-finite ascending chain of infinite subsets of ω, there exists , an infinite maximal almost disjoint family (MADF) of infinite subsets of the natural numbers, such that the Stone-Čech remainder βψ∖ψ of the associated ψ-space, ψ = ψ(ω,ℳ ), is homeomorphic to λ + 1 with the order topology. We also prove that for every λ < ⁺, where is the tower number, there exists a mod-finite ascending chain , hence a ψ-space with Stone-Čech remainder...
Orlicz-Pettis topologies in function spaces.
Orthogonal Trigonometric Schauder Bases of Optimal Degree for C(K).
Outers for noncommutative revisited
We continue our study of outer elements of the noncommutative spaces associated with Arveson’s subdiagonal algebras. We extend our generalized inner-outer factorization theorem, and our characterization of outer elements, to include the case of elements with zero determinant. In addition, we make several further contributions to the theory of outers. For example, we generalize the classical fact that outers in actually satisfy the stronger condition that there exist aₙ ∈ A with haₙ ∈ Ball(A)...