We study how well a quasi-Banach space can be coarsely embedded into a Hilbert space. Given any quasi-Banach space X which coarsely embeds into a Hilbert space, we compute its Hilbert space compression exponent. We also show that the Hilbert space compression exponent of X is equal to the supremum of the amounts of snowflakings of X which admit a bi-Lipschitz embedding into a Hilbert space.
On quasi-Banach spaces which are 'dual' to Banach spaces
The existence of primitives for continuous functions in a quasi-Banach space
On the minimal space problem and a new result on existence of basic sequences in quasi-Banach spaces
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