Definition
- Let H be a Hilbert space. An absolutely convex compact C ⊂ H is called a Hilbert compact in H if the space equipped with the Banach norm generated by C is isomorphic to a Hilbert space and dense in H.
Reference
- I. V. Orlov, Hilbert compacts, compact ellipsoids, and compact extrema, Journal of Mathematical Sciences, Vol. 164, No. 4, 2010