Hilbert space operator
C36563
concept
A Hilbert space operator is a linear transformation defined on a (subspace of a) Hilbert space that maps vectors to vectors in a way compatible with the space’s inner product structure, often studied via its continuity, boundedness, and spectral properties.
Observed surface forms (6)
- quantum mechanical operator ×3
- Fourier multiplier operator ×1
- Hamiltonian operator ×1
- projection operator ×1
- relativistic operator ×1
- self-adjoint operator ×1
Instances (6)
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Hilbert–Schmidt operators
surface form: Hilbert–Schmidt operator
- Dirac Hamiltonian via concept surface "quantum mechanical operator"
- four-momentum operator via concept surface "quantum mechanical operator"
- Pauli–Lubanski pseudovector via concept surface "quantum mechanical operator"
- Riesz transforms via concept surface "Fourier multiplier operator"
- Riesz projection via concept surface "projection operator"