Fréchet spaces with a unique unconditional basis
Fréchet spaces with quotients failing the bounded approximation property
Fréchet valued co-echelon spaces
Fréchet-Montel-spaces which are not Schwartz-spaces
Frécheträume, zwischen denen jede stetige lineare Abbildung beschränkt ist.
Fréchet-spaces-valued measures and the AL-property.
Associated with every vector measure m taking its values in a Fréchet space X is the space L1(m) of all m-integrable functions. It turns out that L1(m) is always a Fréchet lattice. We show that possession of the AL-property for the lattice L1(m) has some remarkable consequences for both the underlying Fréchet space X and the integration operator f → ∫ f dm.
Free Abelian I-groups and Vector Lattices.
Free locally convex spaces and -retracts
We study the relation of -equivalence defined between Tychonoff spaces, that is, we study the topological isomorphisms of their respective free locally convex spaces. We introduce the concept of an -retract in a Tychonoff space in terms of the existence of a special kind of simultaneous extensions of continuous functions, explore the relation of this concept with the Dugundji extension theorem, and find some conditions that allow us to identify -retracts in various classes of topological spaces....
Free uniform measures
Freely solvable systems of linear inequalities
From isotonic Banach functionals to coherent risk measures
Coherent risk measures [ADEH], introduced to study both market and nonmarket risks, have four characteristic properties that lead to the term “coherent” present in their name. Coherent risk measures regarded as functionals on the space have been extensively studied [De] with respect to these four properties. In this paper we introduce CRM functionals, defined as isotonic Banach functionals [Al], and use them to characterize coherent risk measures on the space as order opposites of CRM functionals....
F-spaces with a basis which is which is shrinking but not hyper-shrinking
Functional analytic characterization of classes of convex bodies.
Functional-analytic properties of Corson-compact spaces
Further results on laws of large numbers for uncertain random variables
The uncertainty theory was founded by Baoding Liu to characterize uncertainty information represented by humans. Basing on uncertainty theory, Yuhan Liu created chance theory to describe the complex phenomenon, in which human uncertainty and random phenomenon coexist. In this paper, our aim is to derive some laws of large numbers (LLNs) for uncertain random variables. The first theorem proved the Etemadi type LLN for uncertain random variables being functions of pairwise independent and identically...