M 311 Spring 2004
HOMEWORK SUMMARY REPORT
Chapter number: 5
Section number: 2
Exercise number: 12
Number of papers received: 2
Reviewing committee: Gamma
List all participating committee members:
Patrick Barrett, Mike Shelby
Author(s) of paper(s) chosen for publication:
[Kathryn Turner]
Comments:
One of our papers was not accurate and the other one was accurate but
somewhat hard to follow the reasoning. For clarification, the paper chosen
will need some revision although it seems that he understood what he was
doing.
INSTRUCTOR'S COMMENT: (1) I think the other paper was closer to
acceptable, but it needs some revision for clarity.
(2) Here is a simple argument for part (c) (surjectivity): By definition
of Gf as an integral, any function of the form h = Gf satisfies h(0) = 0.
So, all functions in the range of G vanish at the origin, and hence G is
certainly not surjective.