The Polynomial Numerical Index of Lp(μ)
We show that for 1 < p < ∞, k,m ∈ N, n(k)(lp) = inf{n(k)(lm p ) : m ∈ N}and that for any positive measure μ, n(k)(Lp(μ)) ≥ n(k)(lp). We also prove that for every Q ∈ P(klp : lp) (1 < p < ∞), if v(Q) = 0, then ∥Q∥ = 0. KCI Citation Count: 0
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| Veröffentlicht in: | Kyungpook mathematical journal 2013, 53(1), , pp.117-124 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | We show that for 1 < p < ∞, k,m ∈ N, n(k)(lp) = inf{n(k)(lm p ) : m ∈ N}and that for any positive measure μ, n(k)(Lp(μ)) ≥ n(k)(lp). We also prove that for every Q ∈ P(klp : lp) (1 < p < ∞), if v(Q) = 0, then ∥Q∥ = 0. KCI Citation Count: 0 |
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| ISSN: | 1225-6951 0454-8124 |
| DOI: | 10.5666/KMJ.2013.53.1.117 |