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Unconditional ideals in Banach spaces
(Scientific advances, 2012-07-14)
Let wL ′ denote the assignment which associates with each pair of Banach
spaces X , Y, the vector space L ( ) X Y w , ′ and K(X, Y ) be the space of all
compact linear operators from X to Y. Let T L ( ) X Y w , ′ ∈ and ...
On unconditional banach space ideal property
(Instytut matematyczny polskiej akademi nauk, 2015-03-18)
We show that a Banach space with separable dual can be renormed to satisfy hereditarily an "almost" optimal uniform smoothness condition. The optimal condition occurs when the canonical decomposition X∗∗∗=X⊥⊕X∗ is ...