This is a list of vector spaces in abstract mathematics, by Wikipedia page.

• Banach space
• Besov space
• Bochner space
• Dual space
• Euclidean space
• Fock space
• Fréchet space
• Hardy space
• Hilbert space
• Hölder space
• LF-space
• L^p space
• Minkowski space
• Montel space
• Morrey–Campanato space
• Orlicz space
• Riesz space
• Schwartz space
• Sobolev space
• Tsirelson space