Limacons, normal operators and polar factorizations.
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.
Linear isometries of finite codimensions on Banach algebras of holomorphic functions.
Linear multiplicative functionals of algebras of -analytic functions on groups.
Linear topological properties of the Lumer-Smirnov class of the polydisc
Linear topological properties of the Lumer-Smirnov class of the unit polydisc are studied. The topological dual and the Fréchet envelope are described. It is proved that has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for .
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 spaces of holomorphic and pluriharmonic functions on bounded symmetric domains in (N>1)
Localization families for real function algebras.
L...-representations of commutative semitopological semigroups.
Maps between Banach function algebras satisfying certain norm conditions
Let A and B be Banach function algebras on compact Hausdorff spaces X and Y, respectively, and let and be their uniform closures. Let I, I′ be arbitrary non-empty sets, α ∈ ℂ{0, ρ: I → A, τ: l′ → a and S: I → B T: l′ → B be maps such that ρ(I, τ(I′) and S(I), T(I′) are closed under multiplications and contain exp A and expB, respectively. We show that if ‖S(p)T(p′)−α‖Y=‖ρ(p)τ(p′) − α‖x for all p ∈ I and p′ ∈ I′, then there exist a real algebra isomorphism S: A → B, a clopen subset K of M B and...
Maximal ideals in algebras of vector-valued functions.
Maximal subalgebra of Douglas algebra.
m-convexité dans le corps C(X).
Mergelyan type theorems for some function spaces.
Mittag-Leffler methods in analysis.
In this survey we present two Mittag-Leffler lemmas and several applications to topics as varied as the delta-equation, Fréchet algebras, inductive limits of Banach spaces and quasi-normable Fréchet spaces.
Mixed Norm Spaces of Analytic and Harmonic Functions, I
Mixed norm spaces of analytic and harmonic functions. I.
Mixed norm spaces of analytic and harmonic functions. II.
Möbius invariant function spaces.
Modulus of Approximate Continuity for R(X).