Some remarks on absolutely summing multilinear operators

Details Some remarks on absolutely summing multilinear operators Some remarks on absolutely summing multilinear operators

2011-01-11

arxiv.org/abs/1101.2119v3

Mathematics

Functional Analysis

11 pages

Scientific paper

This short note has a twofold purpose: (i) to solve the question that motivates a recent paper of D. Popa on multilinear variants of Pietsch's composition theorem for absolutely summing operators. More precisely, we remark that there is a natural perfect extension of Pietsch's composition theorem to the multilinear and polynomial settings. This fact was overlooked in the aforementioned paper; (ii) to investigate extensions of some results of the aforementioned paper for particular situations, mainly by exploring cotype properties of the spaces involved.

Affiliated with

Also associated with

No associations

Rating

Some remarks on absolutely summing multilinear operators 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 Some remarks on absolutely summing multilinear operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some remarks on absolutely summing multilinear operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-160582