Facial Structure of the Sum of Two Compact Convex Sets.
Factorisation without bounded approximate identities
FF-Banachverbandsalgebren.
Finiteness properties of topological algebras, I
Fonctions arithmétiques [Book]
Fonctions continues et séparément additives
Fonctions -lipschitziennes sur un anneau local et polynômes à valeurs entières
Fredholm theory in Banach algebras
Fuglede-type decompositions of representations
It is shown that reducing bands of measures yield decompositions not only of an operator representation itself, but also of its commutant. This has many consequences for commuting Hilbert space representations and for commuting operators on Hilbert spaces. Among other things, it enables one to construct a Lebesgue-type decomposition of several commuting contractions without assuming any von Neumann-type inequality.
Function algebras on the interval and circle
Function Algebras on which Homomorphisms are Point Evaluations on Sequences.
Function spaces have essential sets
It is well known that any function algebra has an essential set. In this note we define an essential set for an arbitrary function space (not necessarily algebra) and prove that any function space has an essential set.
Functional-analytic properties of Corson-compact spaces
Functions of Translation Type and Functorial Properties of Segal Algebras II.
Furi–Pera fixed point theorems in Banach algebras with applications
In this work, we establish new Furi–Pera type fixed point theorems for the sum and the product of abstract nonlinear operators in Banach algebras; one of the operators is completely continuous and the other one is -Lipchitzian. The Kuratowski measure of noncompactness is used together with recent fixed point principles. Applications to solving nonlinear functional integral equations are given. Our results complement and improve recent ones in [10], [11], [17].