Compact operators
concept- Related → Operator spectrum
- Related → Spectral theorem
- Related → Dual spaces
- Related → Vector spaces
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Dual spaces
concept- Related → Hahn–Banach theorem
- Related → Riesz representation in Hilbert spaces
- Related → Normed spaces
- Related → Compact operators
Normed spaces
concept- Related → Banach spaces
- Related → Bounded linear operators
- Related → Vector spaces
- Related → Dual spaces
- Leads to → Banach spaces
- Requires → Vector spaces
Vector spaces
concept- Related → Normed spaces
- Related → Compact operators
- Leads to → Normed spaces
Banach spaces
concept- Related → Normed spaces
- Related → Hilbert spaces
- Requires → Normed spaces
Hahn–Banach theorem
concept- Related → Dual spaces
- Related → Weak convergence
Operator spectrum
concept- Related → Compact operators
- Related → Self-adjoint operators
Hilbert spaces
concept- Related → Banach spaces
- Related → Bounded linear operators
- Leads to → Riesz representation in Hilbert spaces
Self-adjoint operators
concept- Related → Operator spectrum
- Related → Spectral theorem
Weak convergence
concept- Related → Hahn–Banach theorem
- Related → Riesz representation in Hilbert spaces
Bounded linear operators
concept- Related → Hilbert spaces
- Related → Normed spaces
Riesz representation in Hilbert spaces
concept- Related → Weak convergence
- Related → Dual spaces
- Requires → Hilbert spaces
Spectral theorem
concept- Related → Self-adjoint operators
- Related → Compact operators