bounded set (in a topological vector space)
DefinitionSuppose is a subset of a topological vector space .Then is a if for every neighborhood
ofthe zero vector in , thereexists a scalar such that .
References
- 1 W. Rudin, Functional Analysis
,McGraw-Hill Book Company, 1973.
- 2 F.A. Valentine, Convex sets, McGraw-Hill Book company, 1964.
- 3 R. Cristescu, Topological vector spaces,Noordhoff International Publishing, 1977.