On the positive Dimant strongly $p$-summing multilinear operators
In 2003, Dimant V. has defined and studied the interesting class of strongly $p$-summing multilinear operators. In this paper, we introduce and study a new class of operators between two Banach lattices, where we extend the previous notion to the positive framework, and prove, among other results, the domination, inclusion and composition theorems. As consequences, we investigate some connections between our class and other classes of operators, such as duality and linearization.
2010 ◽
Vol 441
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pp. 235-267
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2015 ◽
Vol 58
(3)
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pp. 617-629
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2018 ◽
Vol 457
(1)
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pp. 803-821
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2014 ◽
Vol 12
(1)
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pp. 77-87
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1995 ◽
Vol 53
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pp. 232-233
1992 ◽
Vol 50
(1)
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pp. 540-541
1996 ◽
Vol 54
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pp. 160-161
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