Abstract of a paper by D. Azagra, R. Fry and L. Keener
23 Nov
2010
23 Nov
'10
12:05 p.m.
This is an announcement for the paper "Approximation of functions and their derivatives by analytic maps on certain Banach spaces" by D. Azagra, R. Fry and L. Keener. Abstract: Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let f:X→R be bounded, Lipschitz, and C¹ with uniformly continuous derivative. Then for each {\epsilon}>0, there exists an analytic function g:X→R with |g-f|<{\epsilon} and ‖g′-f′‖<{\epsilon}. Archive classification: math.FA Remarks: 17 pages Submitted from: rfry@tru.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1011.4613 or http://arXiv.org/abs/1011.4613
5499
Age (days ago)
5499
Last active (days ago)
0 comments
1 participants
participants (1)
-
alspach@math.okstate.edu