A characterization of Hilbert spaces using sublinear operators
by Khalil Saadi  

Vol. 10 No. 1 (2015) P.131~P.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.

KEYWORDS
Banach lattice, Sublinear operators, (positive) p- summing operators, strongly (positive) p-summing operators, Kwapien's Theorem.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 46B40, 46B42, 47B65.

MILESTONES

Received: 2013-09-24
Revised : 2014-07-21
Accepted: 2014-08-07

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