Geodesic
Representation of p-Lattice Summing Operators
Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 267-277

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In this paper we study some aspects of the behaviour of p-lattice summing operators. We prove first that an operator T from a Banach space E to a Banach lattice X is p-lattice summing if and only if its bitranspose is. Using this theorem we prove a characterization for 1 -lattice summing operators defined on a C(K) space by means of the representing measure, which shows that in this case 1 -lattice and ∞-lattice summing operators coincide. We present also some results for the case 1 ≤ p < ∞ on C(K,E).
DOI : 10.4153/CMB-1992-038-9
Mots-clés : 47B38, 47B55 
Pomares, Beatriz Porras. Representation of p-Lattice Summing Operators. Canadian mathematical bulletin, Tome 35 (1992) no. 2, pp. 267-277. doi: 10.4153/CMB-1992-038-9
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     title = {Representation of {p-Lattice} {Summing} {Operators}},
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     year = {1992},
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     number = {2},
     doi = {10.4153/CMB-1992-038-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1992-038-9/}
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