Daniele Puglisi

Department of Mathematics and Computer Sciences
University of Catania
Viale Andrea Doria, 6
I-95125 Catania CT

Office: 346
Office phone: ++39 095 7383055
Fax: ++39 095 330094

E-mail: dpuglisiunict.it

Research

In

• D. Puglisi, G. Saluzzo; Stability on Local Unconditional Structure and the Gordon-Lewis Property in Tensor Products. Quaest. Math. 31 (2008), 141-150.

the authors show that if X is an script-L_1 space (resp. script-L_\infty space) and Y a Banach space, then the projective tensor product of X and Y (resp. the injective tensor product of X and Y) has l.u.st. property (or GL-property) if Y does.

Questions

• If X is a Banach space so that the projective tensor product of X and Y has l.u.st. (GL-property) whenever Y does, is X an script-L_1 space?
• If X is a Banach space so that the injective tensor product of X and Y has l.u.st. (GL-property) whenever Y does, is X an script-L_\infty space?

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