Linear Operators and Vector Measures. II.
Linear operators in the space of regulated functions
Representation of bounded and compact linear operators in the Banach space of regulated functions is given in terms of Perron-Stieltjes integral.
Linear operators on
Linear operators on for dispersed
Linear operators on and Lorentz spaces: The Krasnosel’skii-Zabrieko characteristic sets
Linear operators on non-locally convex Orlicz spaces
We study linear operators from a non-locally convex Orlicz space to a Banach space . Recall that a linear operator is said to be σ-smooth whenever in implies . It is shown that every σ-smooth operator factors through the inclusion map , where Φ̅ denotes the convex minorant of Φ. We obtain the Bochner integral representation of σ-smooth operators . This extends some earlier results of J. J. Uhl concerning the Bochner integral representation of linear operators defined on a locally convex...
Linear parabolic equations in Banach spaces with variable domains but constant interpolation spaces
Linear spaces and involutive duality functors
Linear topological classifications of certain function spaces. II.
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...
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 .
Linear Topological Spaces with Fundamental Sequences of Compact Sets.
Linear topologies on sesquilinear spaces of uncountable dimension
Linear topologies which are suprema of dual-less topologies
Linear transformations from a function space
Lineare Gleichverteilung.
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.
Linearization and compactness
This paper is devoted to several questions concerning linearizations of function spaces. We first consider the relation between linearizations of a given space when it is viewed as a function space over different domains. Then we study the problem of characterizing when a Banach function space admits a Banach linearization in a natural way. Finally, we consider the relevance of compactness properties in linearizations, more precisely, the relation between different compactness properties of a mapping,...
Linearization of isometric embedding on Banach spaces
Let X,Y be Banach spaces, f: X → Y be an isometry with f(0) = 0, and be the Figiel operator with and ||T|| = 1. We present a sufficient and necessary condition for the Figiel operator T to admit a linear isometric right inverse. We also prove that such a right inverse exists when is weakly nearly strictly convex.