normarendszer
Normarendszer, literally “norm system” in Hungarian, is a concept used in functional analysis to describe a collection of norms defined on a vector space that is used to measure sizes of vectors and to generate a topology.
Definition and scope: Let V be a vector space over the real or complex numbers. A normarendszer
Relation to seminorms: While each member of a normarendszer is a norm, in many contexts the same
Examples: In finite-dimensional spaces like R^n, any finite collection of norms defines the same underlying topology,
Applications: Normarendszer concepts are central to the study of locally convex spaces, distributions, and partial differential