Ondelettes et bases hilbertiennes.
Ondelettes et fonctions splines
One theorem on rotundity and smoothness of separable Banach spaces
Open problems in theory of metric linear spaces
Operadores débilmente compactos en espacios de funciones continuas con valores vectoriales, y la propiedad de Radon-Nykodim.
Opérateurs convexifiants
Opérateurs de type Rademacher entre espaces de Banach
Opérateurs diagonaux dans les espaces à bases.
Opérateurs sommants sur un cone normal d un espace de Banach.
The aim of this paper is to develop a theory of p-summing operators (between Banach spaces) in presence of an order structure given by a convex normal cone.
Opérateurs uniformément convexifiants
Operator and function spaces which are K-analytic
Operator Figà-Talamanca-Herz algebras
Let G be a locally compact group. We use the canonical operator space structure on the spaces for p ∈ [1,∞] introduced by G. Pisier to define operator space analogues of the classical Figà-Talamanca-Herz algebras . If p ∈ (1,∞) is arbitrary, then and the inclusion is a contraction; if p = 2, then OA₂(G) ≅ A(G) as Banach spaces, but not necessarily as operator spaces. We show that is a completely contractive Banach algebra for each p ∈ (1,∞), and that completely contractively for amenable...
Operator ideal properties of vector measures with finite variation
Given a vector measure m with values in a Banach space X, a desirable property (when available) of the associated Banach function space L¹(m) of all m-integrable functions is that L¹(m) = L¹(|m|), where |m| is the [0,∞]-valued variation measure of m. Closely connected to m is its X-valued integration map Iₘ: f ↦ ∫f dm for f ∈ L¹(m). Many traditional operators from analysis arise as integration maps in this way. A detailed study is made of the connection between the property L¹(m) = L¹(|m|) and the...
Operator inequalities, geodesics and interpolation
Operator representation of weakly Cauchy sequences in projective tensor product of Banach spaces.
Operator semigroups in Banach space theory
In questo lavoro, motivati dalla teoria di Fredholm in spazi di Banach e dalla cosiddetta teoria degli ideali di operatori nel senso di Pietsch, viene definito un nuovo concetto di semigruppo di operatori. Questa nuova definizione include quella di molte classi di operatori già studiate in letteratura, come la classe degli operatori di semi-Fredholm, quella degli operatori tauberiani ed altre ancora. Inoltre permette un nuovo ed unificante approccio ad una serie di problemi in teoria degli operatori...
Operator spaces and similarity problems.
Operator spaces which are one-sided M-ideals in their bidual
We generalize an important class of Banach spaces, the M-embedded Banach spaces, to the non-commutative setting of operator spaces. The one-sided M-embedded operator spaces are the operator spaces which are one-sided M-ideals in their second dual. We show that several properties from the classical setting, like the stability under taking subspaces and quotients, unique extension property, Radon-Nikodým property and many more, are retained in the non-commutative setting. We also discuss the dual...
Operators Factoring through Banach Lattices and Ideal Norms
A new, unified presentation of the ideal norms of factorization of operators through Banach lattices and related ideal norms is given.
Operators generating p-stable measures on Banach spaces