On a theorem of L. Schwartz and its applications to absolutely summing operators
On a theorem of Lebow
On a theorem of Lebow and Mlak for several commuting operators
On a theorem of Rolewicz for semigroups of operators in locally convex spaces
On a theorem of Stinespring concerning integral operators of trace class.
On a theorem of Vesentini
Let 𝒜 be a Banach algebra over ℂ with unit 1 and 𝑓: ℂ → ℂ an entire function. Let 𝐟: 𝒜 → 𝒜 be defined by 𝐟(a) = 𝑓(a) (a ∈ 𝒜), where 𝑓(a) is given by the usual analytic calculus. The connections between the periods of 𝑓 and the periods of 𝐟 are settled by a theorem of E. Vesentini. We give a new proof of this theorem and investigate further properties of periods of 𝐟, for example in C*-algebras.
On a theorem of Zabczyk for semigroups of operators in locally convex spaces.
On a time-dependent subdifferential evolution inclusion with a nonconvex upper-semicontinuous perturbation.
On a time-dependent subdifferential evolution inclusion with Carathéodory perturbation
On an infinite-dimensional Hilbert space, we establish the existence of solutions for some evolution problems associated with time-dependent subdifferential operators whose perturbations are Carathéodory single-valued maps.
On a trace inequality for one-sided potentials and applications to the solvability of nonlinear integral equations.
On a two-step algorithm for hierarchical fixed point problems and variational inequalities.
On a type of matrix semigroup.
On a universality property of some abelian Polish groups
We show that every abelian Polish group is the topological factor group of a closed subgroup of the full unitary group of a separable Hilbert space with the strong operator topology. It follows that all orbit equivalence relations induced by abelian Polish group actions are Borel reducible to some orbit equivalence relations induced by actions of the unitary group.
On a variational property of integral functionals and related conjectures
The aim of this paper is to give the proofs of those results that in [4] were only announced, and, at the same time, to propose some possible developments, indicating some of the most significant open problems.
On a vector-valued local ergodic theorem in
Let be a strongly continuous d-dimensional semigroup of linear contractions on , where (Ω,Σ,μ) is a σ-finite measure space and X is a reflexive Banach space. Since , the adjoint semigroup becomes a weak*-continuous semigroup of linear contractions acting on . In this paper the local ergodic theorem is studied for the adjoint semigroup T*. Assuming that each T(u), , has a contraction majorant P(u) defined on , that is, P(u) is a positive linear contraction on such that almost everywhere...
On a weighted Toeplitz operator and its commutant.
On a Weyl-von Neumann type theorem for antilinear self-adjoint operators
Antilinear operators on a complex Hilbert space arise in various contexts in mathematical physics. In this paper, an analogue of the Weyl-von Neumann theorem for antilinear self-adjoint operators is proved, i.e. that an antilinear self-adjoint operator is the sum of a diagonalizable operator and of a compact operator with arbitrarily small Schatten p-norm. On the way, we discuss conjugations and their properties. A spectral integral representation for antilinear self-adjoint operators is constructed....
On accretive multivalued mappings in Banach spaces
On adjoint of an operator on reflexive Banach spaces
On algebraic generation of B(X) by two subalgebras with square zero