Composition of operator ideals and their regular hulls

Details Composition of operator ideals and their regular hulls Composition of operator ideals and their regular hulls

1996-04-24

arxiv.org/abs/math/9604219v1

Mathematics

Functional Analysis

Scientific paper

Given two quasi-Banach ideals \oid{A}{}{} and \oid{B}{}{} we investigate the regular hull of their composition - $(\oid{A}{}{} \circ \oid{B}{}{})^{reg}$. 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:\\ $\oid{N}{}{reg} \stackrel{1}{=} \oid{I}{}{} \circ \oid{W}{}{}$ (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.

Affiliated with

Also associated with

No associations

Rating

Composition of operator ideals and their regular hulls does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Composition of operator ideals and their regular hulls, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Composition of operator ideals and their regular hulls will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-551383