3
$\begingroup$

Could anybody come up with a cited reference for the following concept?

A subset $B$ of a topological vector space $X$ is called "bornophagic" if, for every bounded $A\subset X$, there exists $\delta>0$ such that $A\subset\delta B$.

$\endgroup$

1 Answer 1

7
$\begingroup$

Usually, such sets are called bornivorous. E.g., in the book Barrelled Locally Convex Spaces of Bonet and Perez Carreras.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.