AVERAGES AND COMPACT, ABSOLUTELY SUMMING AND NUCLEAR OPERATORS ON C (Ω)

DOI10.4134/JKMS.2010.47.5.899zbMATH Open1214.47023MaRDI QIDQ4929309

Dumitrŭ Popa

Publication date: 22 September 2010

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/kms_content.php?no=402261

zbMATH Keywords

weakly compact operatorscompact operatorsabsolutely summing operatorsBanach spaces of continuous functionsnuclear operators

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Linear operators defined by compactness properties (47B07) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Vector-valued measures and integration (46G10)

Related Items (4)

Supplement to the paper ``The averaging operator with respect to a countable partition on a minimal symmetric ideal of the space \(L^ 1(0,1)\) ⋮ Copies of in ⋮ The summing nature of the multiplication operator from \(l_{p}\left( \mathcal {X}\right) \) into \( c_{0}\left( \mathcal {Y}\right) \) ⋮ On averaging of rearrangement invariant ideals of the space \(L^{1} (\Omega , \Sigma , \mu )\) by non-atomic \(\sigma \)-subalgebras of \(\Sigma \)

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