5 citations · 7 across the 6 of their papers we have counts for
6 papers
Real analytic approximations which almost preserve Lipschitz constants of functions defined on the Hilbert space
D. Azagra, R. Fry, L. Keener
Let be a separable real Hilbert space. We show that for every Lipschitz function , and for every , there exists a Lipschitz, real analytic functi…
Approximation of functions and their derivatives by analytic maps on certain Banach spaces
D. Azagra, R. Fry, L. Keener
Let X be a separable Banach space which admits a separating polynomial; in particular X a separable Hilbert space. Let be bounded, Lipschitz, and with uni…
Real analytic approximation of Lipschitz functions on Hilbert space and other Banach spaces
D. Azagra, R. Fry, L. Keener
Let be a separable Banach space with a separating polynomial. We show that there exists (depending only on ) such that for every Lipschitz function $f:X\rightarrow…
Approximation of Lipschitz functions by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces
R. Fry, L. Keener
This note corrects a gap and improves results in an earlier paper by the first named author. More precisely, it is shown that on weakly compactly generated Banach spaces X which ad…
Smooth extensions of functions on separable Banach spaces
D. Azagra, R. Fry, L. Keener
Let be a Banach space with a separable dual . Let be a closed subspace, and a -smooth function. Then we show there is a ex…
Approximation by Lipschitz, analytic maps on certain Banach spaces
R. Fry, L. Keener
We show that on separable Banach spaces admitting a separating polynomial, any uniformly continuous, bounded, real-valued function can be uniformly approximated by Lipschitz, analy…