We prove that, whenever we pick real numbers a, b such that 0 < b < a < 1, a+b>1,anda3+b3 =1,theneveryboundedlinearoperatorfroml2 to Xa,b and from Xa,b to l2 must be compact, where Xa,b is the Bourgain–Delbaen space.
Operators on Bourgain-Delbaen's spaces
Puglisi, D.
2018-01-01
Abstract
We prove that, whenever we pick real numbers a, b such that 0 < b < a < 1, a+b>1,anda3+b3 =1,theneveryboundedlinearoperatorfroml2 to Xa,b and from Xa,b to l2 must be compact, where Xa,b is the Bourgain–Delbaen space.File in questo prodotto:
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