Lifting and Desintegration
Lifting of holomorphic mappings on locally convex spaces.
Lifting-Sätze für Vektorfunktionen und (EL)-Räume.
Lineability and algebrability of the set of holomorphic functions with a given domain of existence
We show that if U is a domain of existence in a separable Banach space, then the set of holomorphic functions on U whose domain of existence is U is lineable and algebrable.
Lineability of the set of holomorphic mappings with dense range
Let U be an open subset of a separable Banach space. Let ℱ be the collection of all holomorphic mappings f from the open unit disc 𝔻 ⊂ ℂ into U such that f(𝔻) is dense in U. We prove the lineability and density of ℱ in appropriate spaces for different choices of U.
Linear operations tensor products, and contractive projections in function spaces
Linear Operators and Vector Measures. II.
Linear operators on for dispersed
Linear topological invariants of spaces of holomorphic functions in infinite dimension.
It is shown that if E is a Frechet space with the strong dual E* then Hb(E*), the space of holomorphic functions on E* which are bounded on every bounded set in E*, has the property (DN) when E ∈ (DN) and that Hb(E*) ∈ (Ω) when E ∈ (Ω) and either E* has an absolute basis or E is a Hilbert-Frechet-Montel space. Moreover the complementness of ideals J(V) consisting of holomorphic functions on E* which are equal to 0 on V in H(E*) for every nuclear Frechet space E with E ∈ (DN) ∩ (Ω) is stablished...
Linéarisation des difféomorphismes analytiques dans une algèbre de Banach.
Linearity in non-linear problems.
Estudiamos algunas situaciones donde encontramos un problema que, a primera vista, parece no tener solución. Pero, de hecho, existe un subespacio vectorial grande de soluciones del mismo.
Lipschitz extensions of convex-valued maps
Si dimostra che ogni funzione multivoca lipschitziana con costante di Lipschitz , definita su un sottoinsieme di uno spazio di Hilbert a valori compatti e convessi in , può essere estesa su tutto ad una funzione multivoca lipschitziana con costante minore di 7 nM. In generale, non esistono invece estensioni aventi la stessa costante di Lipschitz .
Lipschitz functions with unexpectedly large sets of nondifferentiability points.
Lipschitz measures and vector-valued Hardy spaces.
Local invertibility of non-archimedean vector-valued functions
Local Mappings on spaces of differentiable functions.
Local uniform linear convexity with respect to the Kobayashi distance.
Lokalkonvexe Unterräume in topologischen Vektorräumen und das ...- Produkt.
Lower bounds for norms of products of polynomials on spaces
For 1 < p < 2 we obtain sharp lower bounds for the uniform norm of products of homogeneous polynomials on , whenever the number of factors is no greater than the dimension of these Banach spaces (a condition readily satisfied in infinite-dimensional settings). The result also holds for the Schatten classes . For p > 2 we present some estimates on the constants involved.
L-sets and the Pelczynski-Pitt theorem.