2015 / March Volume 10 No.1
A characterization of Hilbert spaces using sublinear operators
| Published Date |
2015 / March
|
|---|---|
| Title | A characterization of Hilbert spaces using sublinear operators |
| Author | |
| Keyword | |
| Download | |
| 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.
|
| AMS Subject Classification |
46B40, 46B42, 47B65.
|
| Received |
2014-07-21
|
| Accepted |
2014-08-07
|