Metrizable [normable] (LF)-spaces and two classical problems in Fréchet [Banach] spaces
Metrization of Compact Convex Sets.
Metrization of uniform lattices
Microfunctions with values in a Clifford algebra 1
Microlocal analysis in the dual of a Colombeau algebra: generalized wave front sets and noncharacteristic regularity.
Microlocal properties of ultradistributions. Composition and kernel type operators.
M-Ideals In Banach Spaces.
M-ideals of compact operators in classical Banach spaces.
M-ideals of homogeneous polynomials
We study the problem of whether , the space of n-homogeneous polynomials which are weakly continuous on bounded sets, is an M-ideal in the space (ⁿE) of continuous n-homogeneous polynomials. We obtain conditions that ensure this fact and present some examples. We prove that if is an M-ideal in (ⁿE), then coincides with (n-homogeneous polynomials that are weakly continuous on bounded sets at 0). We introduce a polynomial version of property (M) and derive that if and (E) is an M-ideal in...
Mielnik's Probability Spaces and Characterization of Inner Product Spaces
Miery v kartézských súčinoch
Minimal and maximal description for the real interpolation methods in the case of quasi-Banach triples.
Minimal ball-coverings in Banach spaces and their application
By a ball-covering of a Banach space X, we mean a collection of open balls off the origin in X and whose union contains the unit sphere of X; a ball-covering is called minimal if its cardinality is smallest among all ball-coverings of X. This article, through establishing a characterization for existence of a ball-covering in Banach spaces, shows that for every n ∈ ℕ with k ≤ n there exists an n-dimensional space admitting a minimal ball-covering of n + k balls. As an application, we give a new...
Minimal bi-invariant Hilbert subspaces of distributions on nilpotent Lie groups.
Minimal Bratteli diagrams and the dimension groups of AF -algebras.
Minimal convex-valued weak USCO correspondences
Minimal convex-valued weak USCO correspondences and the Radon-Nikodým property
Minimal Extremal Subsets of the Unit Sphere.
Minimal incomplete norms on Banach algebras
We study the family of all not necessarily complete algebra norms on a semisimple Banach algebra as a partially ordered set and investigate the existence and properties of minimal elements.
Minimal multi-convex projections
We say that a function from is k-convex (for k ≤ L) if its kth derivative is nonnegative. Let P denote a projection from X onto V = Πₙ ⊂ X, where Πₙ denotes the space of algebraic polynomials of degree less than or equal to n. If we want P to leave invariant the cone of k-convex functions (k ≤ n), we find that such a demand is impossible to fulfill for nearly every k. Indeed, only for k = n-1 and k = n does such a projection exist. So let us consider instead a more general “shape” to preserve....