Mappings of continuous functions on hyper-Stonean spaces
Markov Chains, Riesz Transforms and Lipschitz Maps.
Martingale inequalities in exponential Orlicz spaces.
Martingales, G...-Embeddings and Quotients of L1 .
M-complete approximate identities in operator spaces
This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai’s generalize central approximate identities in ideals in C*-algebras, for it is proved that if X admits an M-cai in Y, then X is a complete M-ideal in Y. It is proved, using ’special’ M-cai’s, that if J is a nuclear ideal in a C*-algebra A, then J is completely complemented in Y for any (isomorphically) locally reflexive operator space Y with J ⊂ Y ⊂ A and...
Measures of noncircularity and fixed points of contractive multifunctions.
Measures of noncompactness and normal structure in Banach spaces
Sufficient conditions for normal structure of a Banach space are given. One of them implies reflexivity for Banach spaces with an unconditional basis, and also for Banach lattices.
Metric betweenness in normed linear spaces
Metric characterization of first Baire class linear forms and octahedral norms
Metric ellipses in Minkowski planes.
An ellipse in R2 can be defined as the locus of points for which the sum of the Euclidean distances from the two foci is constant. In this paper we will look at the sets that are obtained by considering in the above definition distances induced by arbitrary norms.
Metric fixed point theory for multivalued mappings [Book]
Metric projections of closed subspaces of c₀ onto subspaces of finite codimension
Let X be a closed subspace of c₀. We show that the metric projection onto any proximinal subspace of finite codimension in X is Hausdorff metric continuous, which, in particular, implies that it is both lower and upper Hausdorff semicontinuous.
Metric spaces with the small ball property
A metric space (M,d) is said to have the small ball property (sbp) if for every ε₀ > 0 it is possible to write M as the union of a sequence (B(xₙ,rₙ)) of closed balls such that the rₙ are smaller than ε₀ and lim rₙ = 0. We study permanence properties and examples of sbp. The main results of this paper are the following: 1. Bounded convex closed sets in Banach spaces have sbp only if they are compact. 2. Precisely the finite-dimensional Banach spaces have sbp. (More generally: a complete metric...
Metrizability of the unit ball of the dual of a quasi-normed cone
We obtain theorems of metrization and quasi-metrization for several topologies of weak* type on the unit ball of the dual of any separable quasi-normed cone. This is done with the help of an appropriate version of the Alaoglu theorem which is also obtained here.
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 projections onto spaces of symmetric matrices.
Minkowskian rhombi and squares inscribed in convex Jordan curves
We show that any convex Jordan curve in a normed plane admits an inscribed Minkowskian square. In addition we prove that no two different Minkowskian rhombi with the same direction of one diagonal can be inscribed in the same strictly convex Jordan curve.
Modèles étalés des espaces de Banach