Category:Topological vector spaces

• Topological vector space

*

• List of vector spaces in mathematics

A

• Almost open map
• Anderson–Kadec theorem

B

• Banach space
• Banach–Alaoglu theorem
• Banach-Saks property
• Barrelled set
• Barrelled space
• Biorthogonal system
• Bochner integral
• Bornivorous set
• Bornological space
• Bornology
• Bounded set (topological vector space)
• Brauner space

C

• Category of topological vector spaces
• Complete topological vector space
• Complex coordinate space
• Composition operator
• Crinkled arc
• Cylinder set measure

D

• DF-space
• Differentiable vector-valued functions from Euclidean space
• Differentiation in Fréchet spaces
• Distinguished space
• Dual system

F

• F-space
• F. Riesz's theorem
• FK-AK space
• Fréchet space
• Template:Fréchet spaces
• Functional derivative
• Fundamental theorem of Hilbert spaces

G

• Gateaux derivative
• Gelfand–Shilov space

H

• Hahn–Banach theorem
• Hypocontinuous bilinear map

I

• Indefinite inner product space
• Inductive tensor product
• Infinite-dimensional vector function
• Infrabarrelled space
• Integral linear operator

K

• K-space (functional analysis)
• Krein–Milman theorem

L

• LB-space
• LF-space
• Locally convex topological vector space

M

• Mackey space
• Mackey topology
• Mackey–Arens theorem
• Markov–Kakutani fixed-point theorem
• Metrizable topological vector space
• Montel space

N

• Nash–Moser theorem
• Nuclear operator
• Nuclear space

O

• Operator topologies
• Ordered topological vector space

P

• Polar set
• Ptak space

Q

• Quasi-ultrabarrelled space
• Quasibarrelled space

R

• Real coordinate space

S

• Schauder fixed-point theorem
• Schwartz space
• Schwartz topological vector space
• Semi-Hilbert space
• Sequentially complete
• Smith space
• Spaces of test functions and distributions

T

• Topological algebra
• Topological tensor product
• Template:Topological vector spaces
• Topologies on spaces of linear maps
• Total set
• Total subset

U

• Ultrabarrelled space
• Ultrabornological space

V

• Vector bornology
• Vector-valued Hahn–Banach theorems

W

• Weak operator topology
• Webbed space