superproperties

Noun

superproperty (plural superproperties)

1. A higher-level property in a hierarchy of properties.
   • Just as a classes can be specialized with subclass relationships, properties can be specialized with subproperties. The “rdfs:subPropertyOf” property is used to specify a specialization relationship between properties. The described property is a subproperty of the indicated superproperty.2005, Lee W. Lacy, Owl: Representing Information Using the Web Ontology Language, Victoria, BC: Trafford Publishing, →ISBN, page 120
2. (functional analysis) A property of an infinite dimensional Banach space E such that for any infinite dimensional Banach space F, F↪E, has that same property.
   • For our second principle we need the concept of superproperty. If (P) is a property of infinite dimensional Banach spaces, e.g. reflexivity, cotype, etc. we say that the infinite dimensional Banach space E has super (P) if any infinite dimensional Banach space F, F#92;hookrightarrowE, has property...1999, Seán Dineen, “Polynomials”, in Complex Analysis on Infinite Dimensional Spaces (Springer Monographs in Mathematics), London: Springer, →ISBN, page 56