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Diff — Hilbert space

Revision #3036 → #3561 · back to history

modifiedSpectral theorem for unbounded self-adjoint operators (box)6c20e7031758
FieldFrom #3036To #3561
noteThe unbounded spectral theorem (resolution of identity for unbounded self-adjoint operators) is notin Mathlib.The unbounded spectral theorem (resolution of identity for unbounded self-adjoint operators) is not in Mathlib.
modifiedCompact operator has convergent subsequence characterization11cbc150b1cd
FieldFrom #3036To #3561
noteDuplicates the compact-operator definition annotation; kept for the sequential characterization phrasing.Sequential characterization of compact operators; specializes the general `IsCompactOperator` definition to Hilbert-space sequences.
provenanceaiai-moderated
section
addedSymmetry of the dot product on ℝ³48da3faf8085
addedBilinearity of the dot product5131b92d06cd
addedPositive definiteness of the dot productb3128763a5d6
addedNorm from inner product (‖x‖ = √⟨x,x⟩)bcd05b16e283
addedFock space42326ec03fdb
addedDensity matrix (mixed state)41164498825b
addedBra–ket / Riesz correspondenceda724ea56aaf
addedBergman space is a closed subspace of L²(D)05b6e57335a7
addedSpectral theorem for compact self-adjoint operators (box)5e4ba8c30546