We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for p ∈ [1,∞], every proper subset of Lp is almost Lipschitzly embeddable into a Banach space X if and only if X contains uniformly the ℓpn’s. We also sharpen a result of N. Kalton by showing that every stable metric space is nearly isometrically embeddable in the class of reflexive Banach spaces
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
I'll present a few inequalities on metric spaces holding for $L_p$ and other natural spaces. One of ...
Abstract. This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We sh...
International audienceWe introduce the notions of almost Lipschitz embeddability and nearly isometri...
Abstract. We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddabil...
Abstract. We answer a question of Aharoni by showing that every separable metric space can be Lipsch...
Let X and Y be two infinite-dimensional Banach spaces. If X is (uniformly) finitely crudely represen...
Abstract. We investigate the relations of almost isometric embedding and of almost isometry between ...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
International audienceWe show that, for a separable and complete metric space M , the Lipschitz-free...
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings fro...
[EN] We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal...
AbstractWe investigate the Lipschitz structure of ℓp and Lp for 0<p<1 as quasi-Banach spaces and as ...
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into ...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
I'll present a few inequalities on metric spaces holding for $L_p$ and other natural spaces. One of ...
Abstract. This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We sh...
International audienceWe introduce the notions of almost Lipschitz embeddability and nearly isometri...
Abstract. We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddabil...
Abstract. We answer a question of Aharoni by showing that every separable metric space can be Lipsch...
Let X and Y be two infinite-dimensional Banach spaces. If X is (uniformly) finitely crudely represen...
Abstract. We investigate the relations of almost isometric embedding and of almost isometry between ...
AbstractWe define the isoperimetric constant for any locally finite metric space and we study the pr...
The central theme of this thesis is the embedding of metric spaces into Banach spaces. The embedding...
International audienceWe show that, for a separable and complete metric space M , the Lipschitz-free...
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings fro...
[EN] We show that, for a separable and complete metric space $M$, the Lipschitz-free space $\mathcal...
AbstractWe investigate the Lipschitz structure of ℓp and Lp for 0<p<1 as quasi-Banach spaces and as ...
We characterize uniformly perfect, complete, doubling metric spaces which embed bi-Lipschitzly into ...
AbstractEnflo (1969) [4] constructed a countable metric space that may not be uniformly embedded int...
I'll present a few inequalities on metric spaces holding for $L_p$ and other natural spaces. One of ...
Abstract. This paper is concerned with embeddings of homogeneous spaces into Euclidean spaces. We sh...
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