Fréchet algebras with orthogonal basis
Fréchet interpolation spaces and Grothendieck operator ideals.
Starting with a continuous injection I: X → Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.
Fréchet quotients of spaces of real-analytic functions
We characterize all Fréchet quotients of the space (Ω) of (complex-valued) real-analytic functions on an arbitrary open set . We also characterize those Fréchet spaces E such that every short exact sequence of the form 0 → E → X → (Ω) → 0 splits.
Fréchet Schwartz spaces and approximation properties.
Fréchet spaces of continuous vector-valued functions: Complementability in dual Fréchet spaces and injectivity
Fréchet spaces of strongly, weakly and weak*-continuous Fréchet space valued functions are considered. Complete solutions are given to the problems of their injectivity or embeddability as complemented subspaces in dual Fréchet spaces.
Fréchet spaces of Moscatelli type.
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 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 and Strict (LF)-Spaces.
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