A new and simple proof of Schauder's theorem

Details A new and simple proof of Schauder's theorem A new and simple proof of Schauder's theorem

2010-10-06

arxiv.org/abs/1010.1298v4

Mathematics

Functional Analysis

More references added

Scientific paper

Schauder's theorem asserts that a bounded linear operator between Banach spaces is compact if ad only if its adjoint is. We give a new proof of this result, which is both short and completely elementary in the sense that it does not depend on anything beyond basic functional analysis, i.e., the Hahn--Banach theorem and some of its consequences; in particular, we avoid the Arzela--Ascoli theorem (and any kind of related diagonal argument).

Affiliated with

Also associated with

No associations

Rating

A new and simple proof of Schauder's theorem 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 A new and simple proof of Schauder's theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new and simple proof of Schauder's theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-508621