Topological Vector Spaces |
Contents
Topological introduction | 1 |
functions | 12 |
Generalities concerning spaces defined by families of semi | 22 |
Copyright | |
35 other sections not shown
Common terms and phrases
6-convergence 6-topology Banach space barrelled bijective bilinear bornological bounded disk bounded subsets Cauchy sequence Chapter closed subspace closed vector subspace Co(M compact set contained continuous linear form continuous linear mapping continuous mapping COROLLARY 2 Let defined dual system equicontinuous subsets Ex F EXERCISE 2 Let exists F into G fortiori functions Hausdorff LCTVS homomorphism identity mapping inductive limit isomorphism LCTVS F lemma locally compact space locally convex space mapping from F metrisable LCTVS normed space precompact precompact subset Proposition quasi-barrelled quasi-complete reflexive relatively compact subsets scalarly scalars Section semi-norm set of bounded set of subsets space F strong dual subsets of F sufficient suppose Theorem tinuous topology of uniform transforms uniform convergence uniform space uniform structure uniformly continuous unit ball vector space vector subspace weak topology weakly compact subset weakly continuous linear weakly relatively compact zero