. FA ] 2 4 A pr 1 99 6 Compositions of operator ideals and their regular hulls
نویسنده
چکیده
Given two quasi-Banach ideals A and B we investigate the regular hull of their composition (A ◦ B). In concrete situations this regular hull appears more often than the composition itself. As a first example we obtain a description for the regular hull of the nuclear operators which is a ”reflected” Grothendieck representation: N reg 1 = I ◦W (theorem 2.1). Further we recognize that the class of such ideals leads to interesting relations concerning the question of the accessibility of (injective) operator ideals.
منابع مشابه
m at h . FA ] 1 5 O ct 1 99 7 A supplement to my paper on real and complex operator ideals Jörg Wenzel
We show that the main problem left open in [2] can be solved using the Banach spaces Zα recently constructed by Kalton [1]. This gives an example of a complex operator ideal that has no real analogue. It thus shows the richer structure of complex operator ideals compared with the real ones.
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