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Was (wer) ist B-convex space - definition
B-convex space
In functional analysis, the class of B-convex spaces is a class of Banach space. The concept of B-convexity was defined and used to characterize Banach spaces that have the strong law of large numbers by Anatole Beck in 1962; accordingly, "B-convexity" is understood as an abbreviation of Beck convexity.
Locally convex topological vector space
TYPE OF TOPOLOGICAL VECTOR SPACE
Locally convex; Locally convex space; Locally convex spaces; Locally convex topology; Locally convex basis; Locally convex vector space; LCTVS; Finest locally convex topology
In functional analysis and related areas of mathematics, locally convex topological vector spaces (LCTVS) or locally convex spaces are examples of topological vector spaces (TVS) that generalize normed spaces. They can be defined as topological vector spaces whose topology is generated by translations of balanced, absorbent, convex sets.
Uniformly convex space
REFLEXIVE BANACH SPACE SUCH THAT THE CENTER OF A LINE SEGMENT INSIDE THE UNIT BALL MUST LIE DEEP INSIDE THE UNIT BALL UNLESS THE SEGMENT IS SHORT
Uniformly convex Banach space; Uniformly convex banach space; Uniform Convexity; Uniform convexity; Uniformly convex
In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces. The concept of uniform convexity was first introduced by James A.
