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Spaces

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- Banach, Hardy & Hilbert

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Banach space
Approximation property
Asplund space
Aubin-Lions lemma
Auerbach's lemma
B-convex space
BK-space
Ba space
Banach bundle (non-commutative geometry)
Besov space
Birnbaum–Orlicz space
Bounded inverse theorem
Browder–Minty theorem
Bs space
C space
Clarkson's inequalities
Continuous functions on a compact Hausdorff space
Dunford–Pettis property
Dvoretzky's theorem
Eberlein–Šmulian theorem
Ehrling's lemma
Fréchet derivative
Fredholm kernel
Goldstine theorem
Grothendieck space
Hanner's inequalities
Infinite-dimensional holomorphy
Interpolation space
List of Banach spaces
Lorentz space
Lp space
Maharam's theorem
Mazur's lemma
Method of continuity
Milman–Pettis theorem
Modulus and characteristic of convexity
Multipliers and centralizers (Banach spaces)
Operator space
Opial property
Polynomially reflexive space
Pseudo-monotone operator
Quasi-derivative
Quotient of subspace theorem
Radonifying function
Reflexive space
Riesz–Thorin theorem
Schauder basis
Souček space
Strongly measurable functions
There is no infinite-dimensional Lebesgue measure
Tsirelson space
Uniformly convex space
Aleksandrov–Clark measure
Beurling–Lax theorem
Corona theorem
De Branges space
H-infinity methods in control theory
Hardy space
Paley–Wiener theorem
Progressive function
Hilbert space
Bessel's inequality
Category of finite dimensional Hilbert spaces
Céa's lemma
Compact operator on Hilbert space
Cotlar–Stein lemma
Dixmier trace
Energetic space
Euler–Maclaurin formula
Gleason's theorem
Jacobi operator
Kuiper's theorem
Moment problem
Morse–Palais lemma
Positive definite kernel
Projective Hilbert space
Reproducing kernel Hilbert space
Rigged Hilbert space
Scattering theory
Self-adjoint operator
State space (physics)
Tensor product of Hilbert spaces
Weak convergence (Hilbert space)
Wigner's theorem