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Volume 10, Issue 2, Article 46 |
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On the Cohen $p$-Nuclear Sublinear Operators
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Authors: |
Achour Dahmane, Mezrag Lahcène, Saadi Khalil, |
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Keywords:
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Banach lattice, Cohen $p$-nuclear operators, Pietsch's domination theorem, Strongly $p$-summing operators, Sublinear operators. |
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Date Received:
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29/01/09 |
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Date Accepted:
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22/03/09 |
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Subject Codes: |
46B42, 46B40, 47B46, 47B65.
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Editors: |
Constantin P. Niculescu, |
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Abstract: |
Let  be the set of all bounded sublinear operators from a Banach space  into a complete Banach lattice  . In the present paper, we will introduce to this category the concept of Cohen  -nuclear operators. We give an analogue to ``Pietsch's domination theorem'' and we study some properties concerning this notion.
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