Locally analytically pseudo-convex topological vector spaces
Locally bounded spaces of vector functions and nonlinear operators therein.
Locally compact Baer rings.
Locally compact quantum groups
Locally constant functions
Let X be a compact Hausdorff space and M a metric space. is the set of f ∈ C(X,M) such that there is a dense set of points x ∈ X with f constant on some neighborhood of x. We describe some general classes of X for which is all of C(X,M). These include βℕ, any nowhere separable LOTS, and any X such that forcing with the open subsets of X does not add reals. In the case where M is a Banach space, we discuss the properties of as a normed linear space. We also build three first countable Eberlein...
Locally convex - Algebras
Locally convex inductive limits of normed algebras
Locally convex quasi C*-algebras and noncommutative integration
We continue the analysis undertaken in a series of previous papers on structures arising as completions of C*-algebras under topologies coarser that their norm topology and we focus our attention on the so-called locally convex quasi C*-algebras. We show, in particular, that any strongly *-semisimple locally convex quasi C*-algebra (𝔛,𝔄₀) can be represented in a class of noncommutative local L²-spaces.
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 inner derivations of standard operator algebras
It is proved that every locally inner derivation on a symmetric norm ideal of operators is an inner derivation.
Locally minimal sets for conformal dimension.
Locally m-pseudoconvex topologies on locally A-pseudoconvex algebras
Let be a locally A-pseudoconvex algebra over or . We define a new topology on which is the weakest among all m-pseudoconvex topologies on stronger than . We describe a family of non-homogeneous seminorms on which defines the topology .
Locally nearly uniformly smooth Banach spaces.
The aim of this paper is to study the relationships between the concepts of local near uniform smoothness and the properties H and H*.
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.
Locally uniform domains and quasiconformal mappings.