Functional analysis: Difference between revisions

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==Points of view==
Functional analysis in its {{As of|2004|alt=present form}} includes the following tendencies:
*''Abstract analysis''. An approach to analysis based on [[topological group]]s, [[topological ring]]s, and [[topological vector space]]s.
*''Geometry of [[Banach space]]s'' contains many topics. One is [[combinatorial]] approach connected with [[Jean Bourgain]]; another is a characterization of Banach spaces in which various forms of the [[law of large numbers]] hold.