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; The position of K(X,Y) in L(X,Y). To appear in Glasg. Math. Journal (2013)

the author proves that the family of all couple of separable Banach spaces (X,Y) such that K(X,Y) is complemented in L(X,Y) is not Borel, endowed with the Effros-Borel structure.

Questions

• Let A be the family of all separable Banach space X such that K(X) is non trivially complemented in L(X). Is it A Borel?
• Is it coanalytic?

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