Revision #746 → #1097 · back to history
addedCompact operator (normed spaces)3f1a4d04e425
addedSequential characterization of compactnesse55acb3aeb1a
addedCompact implies bounded (normed)fd5db4553b4c
addedTotally bounded characterization into Banach spacesabbf6846bb9a
addedCompact operator (TVS)8bb405dd62b1
addedFinite-rank operators are compacteda71a275183
addedIdentity compact iff finite-dimensionalb3fd3993b321
addedInvertible compact operator forces finite-dimensionale2e2696f5e22
addedCompact implies bounded and continuous8fa923b8a21e
addedCompact operators form a closed subspacee9e88cd67c76
addedCompact operators are a two-sided idealc5aa0ec8d82a
addedCalkin algebra and essential spectrum46a476fd9800
addedApproximation by finite-rank on Hilbert spacesfdfc09c32226
addedEnflo counter-example to approximation property11379f224ca0
addedSchauder's theorem83c7c3cffb44
addedRange of a compact operator is separable0671710af1cb
addedCompact implies strictly singularfff1e361bf29
addedI − T is Fredholm of index zeroa19a47d60f63
addedFredholm alternativefd579400b177
addedParameter-dependent Fredholm alternativec04997020a36
addedSpectrum of a compact operatorbdc1233608fb
addedNonzero spectrum is finite or countable with 0 as only accumulationb4fcf4c18bc4
addedEqual kernel and cokernel dimensions613b444891a1
addedAdjoint shares nonzero spectrum6acd0694f6b3
addedOperator with compact resolventd99549cad0bf
addedSpectral theorem for compact self-adjoint operatorsed0f855a114f
addedDiagonal representation of compact self-adjoint operatorb05f226827f9
addedExtension to compact normal operatorsc58c8115a0f9
addedSingular-value decomposition of compact operators9bb34a69e785
addedHilbert–Schmidt and trace-class operatorsa4526e07f6a4
addedTrace-class ⊂ Hilbert–Schmidt ⊂ compact256b823f342e
addedCompletely continuous operatorf5f77eda12c2
addedCompact ⇒ completely continuous; converse on reflexive spacesc95a8901417b
addedFinite-rank operators48ae110e472c
addedDiagonal/multiplication operators on sequence spaces5816f8522944
addedIntegral operators with regular kernel8a42c62003c8
addedIdentity on infinite-dimensional Banach space is not compactc74f080b7a00
addedShift operators are not compact55a966a1dfcd
addedBounded operators into nuclear spaces are compact2b516adcadb6
addedCauchy integral operatordb42cc1f36c4
addedCompact embeddingb6fc930b8e46
addedRellich–Kondrachov theorem63b40a858723
addedLebesgue space inclusion is not compact400840cbec98
addedHardy space embeds compactly into holomorphic functions3e23709f5230
addedBergman space compact embedding134a8657c064