Florin Catrina

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20172026

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3 papers · 1 filter

math.FA2023

Finite determination for embeddings into Banach spaces: new proof, low distortion

Florin Catrina, Mikhail I. Ostrovskii

The main goal of this paper is to improve the result of Ostrovskii (2012) on the finite determination of bilipschitz and coarse embeddability of locally finite metric spaces into B…

math.FA2022

Dvoretzky-type theorem for locally finite subsets of a Hilbert space

Florin Catrina, Sofiya Ostrovska, Mikhail I. Ostrovskii

The main result of the paper: Given any $ε > 0$ , every locally finite subset of $ℓ_{2}$ admits a $(1 + ε)$ -bilipschitz embedding into an arbitrary infinite-dimensi…

math.FA2017

Images of nowhere differentiable Lipschitz maps of $[0, 1]$ into $L_{1} [0, 1]$

Florin Catrina, Mikhail I. Ostrovskii

The main result: for every sequence ${ω_{m}}_{m = 1}^{\infty}$ of positive numbers ( $ω_{m} > 0)$ there exists an isometric embedding $F : [0, 1] \to L_{1} [0, 1]$ which is nowhere differentiable,…

Finite determination for embeddings into Banach spaces: new proof, low distortion

Dvoretzky-type theorem for locally finite subsets of a Hilbert space

Images of nowhere differentiable Lipschitz maps of [0,1] into L1​[0,1]

Images of nowhere differentiable Lipschitz maps of $[0, 1]$ into $L_{1} [0, 1]$