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Diff — Lp space

Revision #2351 → #3074 · back to history

modifiedZero "norm" (Donoho)4ac134c57f61
FieldFrom #2351To #3074
mathlib.declPiLp.norm_eq_card
mathlib.match_kindexact
mathlib.moduleMathlib.Analysis.Normed.Lp.PiLp
notePiLp.norm_eq_card on PiLp 0 gives the cardinality of the nonzero support, matching the Donoho zero-norm informally (though it is not a true norm).Mathlib does not define PiLp at p=0; the Donoho zero "norm" (support size) has no direct formalization as a norm-like object.
statuspartialnot_formalized
addedAbsolute convergence of series2e6501343e4f
addedBounded sequence space ℓ^∞28c269ed8e4f
addedSquare-summable sequences (ℓ^2)b9429d287382
addedℓ^p is nested increasing in p9136188404bd
addedCounting measureaa197a52dbcf
addedEssential supremumd94dc170f8cc
addedAEEqFun coset space066b231f2d59