Category:Banach spaces

• Banach space

A

• Approximation property
• Aubin–Lions lemma

B

• Ba space
• Banach bundle
• Banach manifold
• List of Banach spaces
• BK-space
• Browder–Minty theorem
• Bs space

C

• C space
• Clarkson's inequalities

D

• Differentiation in Fréchet spaces
• Dunford–Pettis property
• Dvoretzky's theorem

E

• Eberlein–Šmulian theorem
• Ehrling's lemma

F

• Fréchet derivative
• Fredholm kernel

G

• Goldstine theorem
• Grothendieck space

H

• Hanner's inequalities

I

• Infinite-dimensional holomorphy
• Infinite-dimensional Lebesgue measure

L

• Lp space

M

• Mazur's lemma
• Milman–Pettis theorem
• Modulus and characteristic of convexity
• Multipliers and centralizers (Banach spaces)

O

• Opial property
• Orlicz space

P

• Polynomially reflexive space
• Pseudo-monotone operator

Q

• Quasi-derivative
• Quotient of subspace theorem

R

• Radonifying function
• Reflexive space
• Riesz–Thorin theorem

S

• Schauder basis
• Souček space
• Space of continuous functions on a compact space
• Strong operator topology
• Structure theorem for Gaussian measures

T

• Tsirelson space

U

• Uniform norm
• Uniformly convex space