T. Tran

activity

20172026

ℓ_{1} - ℓ_{2}

norm inequality

2 citations · 6 across the 9 of their papers we have counts for

collaborators

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math.FA2017★ 2 cited

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality

Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +1

A fundamental inequality for Hilbert spaces is the $ℓ_{1} - ℓ_{2}$ -norm inequality which gives that for any $x \in H^{n}$ , $∥ x ∥_{1} \leq n ∥ x ∥_{2} .$ But this is a strict inequali…

math.FA2017★ 2 cited

Phase retrieval by hyperplanes

Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng +4

We show that a scalable frame does phase retrieval if and only if the hyperplanes of its orthogonal complements do phase retrieval. We then show this result fails in general by giv…

The exact constant for the ℓ1​−ℓ2​ norm inequality

Phase retrieval by hyperplanes

The exact constant for the $ℓ_{1} - ℓ_{2}$ norm inequality