Functional analysis MOC

Hilbert space

A Hilbert space (𝐻,⟨ ⋅| ⋅⟩) is an inner product space that is complete under its induced norm, #m/def/anal/fun hence it is a Banach space.

Properties

• Nearest point of a convex subset of a Hilbert space

Examples

• 𝐿2 space

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