The space of all bounded operators on Hilbert space does not have the approximation property
The space of compact operators contains when a noncompact operator is suitably factorized
The space of countably simple bounded functions with values in a DF-space.
The Space of Differences of Convex Functions on [0, 1]
∗Participant in Workshop in Linear Analysis and Probability, Texas A & M University, College Station, Texas, 2000. Research partially supported by the Edmund Landau Center for Research in Mathematical Analysis and related areas, sponsored by Minerva Foundation (Germany).The space K[0, 1] of differences of convex functions on the closed interval [0, 1] is investigated as a dual Banach space. It is proved that a continuous function f on [0, 1] belongs to K[0, 1]
The Space of Distributions D' (...) is not Br- Complete.
The space of entire functions of two variables as a metric space.
The space of exponentially decreasing entire functions and its application to solvability
The space of Fourier-Haar multipliers.
The space of functions with a limit at each point.
The space of Henstock integrable functions of two variables.
The space of Laplace transformable distributions
The Space of Lebesgue Measurable Functions on the Interval [0,1] is Homeomorphic to the Countable Infinite Product of Lines.
The space of maximal convex sets
The space of multipliers and convolutors of Orlicz spaces on a locally compact group
Let G be a locally compact group, let (φ,ψ) be a complementary pair of Young functions, and let and be the corresponding Orlicz spaces. Under some conditions on φ, we will show that for a Banach -submodule X of , the multiplier space is a dual Banach space with predual , where the closure is taken in the dual space of . We also prove that if is a Δ₂-regular N-function, then , the space of convolutors of , is identified with the dual of a Banach algebra of functions on G under pointwise...
The space of multipliers into
The space of real-analytic functions has no basis
Let Ω be an open connected subset of . We show that the space A(Ω) of real-analytic functions on Ω has no (Schauder) basis. One of the crucial steps is to show that all metrizable complemented subspaces of A(Ω) are finite-dimensional.
The space and σ-core
We give some new properties of the space and we apply them to the σ-core theory. These results generalize those by Choudhary and Yardimci.
The space Weak H¹
The spaces and are ultrabornological. A new proof.
The spaces and the symbolic calculus of Sebastião e Silva. (Les espaces et le calcul symbolique de Sebastião e Silva.)