Linear topologies on sesquilinear spaces of uncountable dimension
Linear transformations from a function space
Linearly Topologized Spaces without Continuou Bases. Quadratic Forms and Linear Topologies V.
Lineární posloupnosti
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 .
Local completeness of , .
Local completeness of locally pseudoconvex spaces and Borwein-Preiss variational principle
The notion of local completeness is extended to locally pseudoconvex spaces. Then a general version of the Borwein-Preiss variational principle in locally complete locally pseudoconvex spaces is given, where the perturbation is an infinite sum involving differentiable real-valued functions and subadditive functionals. From this, some particular versions of the Borwein-Preiss variational principle are derived. In particular, a version with respect to the Minkowski gauge of a bounded closed convex...
Local convexity is a three-space property for non-archimedean Fréchet spaces
Local convexity of twisted sums
Localization of bounded sets in tensor products.
The problem of topologies of Grothendieck is considered for complete tensor products of Fréchet spaces endowed with the topology defined by an arbitrary tensor norm. Some consequences on the stability of certain locally convex properties in spaces of operators are also given.
Locally analytically pseudo-convex topological vector spaces
Locally convex - Algebras
Locally convex inductive limits of normed algebras
Locally convex spaces for which and the Dvoretsky-Rogers theorem
Locally convex spaces over nonspherically complete valued fields
Locally convex spaces with factorization property
Locally convex topologies in linear orthogonality spaces
In this paper, we investigate the existence and characterizations of locally convex topologies in a linear orthogonality space.
Locally flat Banach spaces
The notion of functions dependent locally on finitely many coordinates plays an important role in the theory of smoothness and renormings on Banach spaces, especially when higher order smoothness is involved. In this note we investigate the structural properties of Banach spaces admitting (arbitrary) bump functions depending locally on finitely many coordinates.
Locally solid topologies on spaces of vector-valued continuous functions
Let be a completely regular Hausdorff space and a real normed space. We examine the general properties of locally solid topologies on the space of all -valued continuous and bounded functions from into . The mutual relationship between locally solid topologies on and
Locally solid topologies on vector valued function spaces.
Locally solid topologies on vector valued function spaces are studied. The relationship between the solid and topological structures of such spaces is examined.