superproperty
nounEtymology From super- + property.
1
Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences 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
A property of an infinite dimensional Banach space E such that for any infinite dimensional Banach space F, F↪E, has that same property.
Functional analysis
- 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 (P). If (P) = super (P), i.e. if a Banach space has super (P) if and only if it has (P) we call (P) a superproperty.1999, Seán Dineen, “Polynomials”, in Complex Analysis on Infinite Dimensional Spaces (Springer Monographs in Mathematics), London: Springer, →ISBN, page 56: