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Equivalent Banach operator ideal norms1
(Hikari: International Journal of mathematical analysis, 2012-12-01)
We present some results concerning the general theory of Banach ideals of operators and give several applications to Banach space theory. We give, in Section 3, new proofs of several recent results, as well as new operator ...
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 ...