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- W2087589613 abstract "For a compact operator in a Hilbert space, let sn(A), n =1, 2,... be the singular numbers and let N(s; A) =card{nε N:sn(A)>, s>0. For 0 <p <,∞, denote . The functionals , finite for AεΣ, depend on the classa ε σp and not on the individual elementAεa, (H. Weyl's lemma); this allows us to write Δp (a), δpp (a), aεσp. One obtains certain results regarding the functionals Δp, δp (and about the analogous functionals for the positive and negative eigenvalues in the casea=a *=A *:A εa. In particular: I. Ifa 1 a 2εσp, then . II.Let a 1,a 2 εσ pP , ." @default.
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- W2087589613 date "1984-10-01" @default.
- W2087589613 modified "2023-10-16" @default.
- W2087589613 title "Compact operators whose singular numbers have powerlike asymptotics" @default.
- W2087589613 cites W121256650 @default.
- W2087589613 doi "https://doi.org/10.1007/bf01474136" @default.
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