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Characterizations of spreading models of $l^{1}$

Persephone Kiriakouli (2000)

Commentationes Mathematicae Universitatis Carolinae

Rosenthal in [11] proved that if $(f_{k})$ is a uniformly bounded sequence of real-valued functions which has no pointwise converging subsequence then $(f_{k})$ has a subsequence which is equivalent to the unit basis of $l^{1}$ in the supremum norm. Kechris and Louveau in [6] classified the pointwise convergent sequences of continuous real-valued functions, which are defined on a compact metric space, by the aid of a countable ordinal index “ $γ$ ”. In this paper we prove some local analogues of the above Rosenthal ’s theorem...

Collectionwise normality and the extension of functions on product spaces

Richard Aló, Linnea Sennott (1972)

Fundamenta Mathematicae

Comparaison des cônes profilés et des cônes presque bien coiffés

Alain Goullet de Rugy (1973/1974)

Séminaire Choquet. Initiation à l'analyse

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Francescopaolo Montefalcone (2016)

Analysis and Geometry in Metric Spaces

In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups. In this case, we will prove the convex hull property and some “exclosure theorems” for H-minimal hypersurfaces of class C2 satisfying a Hörmander-type condition.

Displaying 1 – 4 of 4

Characterizations of spreading models of l 1

Collectionwise normality and the extension of functions on product spaces

Comparaison des cônes profilés et des cônes presque bien coiffés

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Currently displaying 1 – 4 of 4

Characterizations of spreading models of $l^{1}$