2015 / March Volume 10 No.1
A characterization of Hilbert spaces using sublinear operators
Published Date |
2015 / March
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Title | A characterization of Hilbert spaces using sublinear operators |
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Pagination | 131-141 |
Abstract | In this paper we study a sublinear version of the Kwapie$\acute{n}$'s Theorem. We show that
X is isomorphic to a Hilbert space if, and only if, for every 2-summing sublinear operator
T : X $\rightarrow l^{2}$, T is strongly positive p-summing.
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AMS Subject Classification |
46B40, 46B42, 47B65.
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Received |
2014-07-21
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Accepted |
2014-08-07
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