Materials available from this web page
are copyright © J.F. Feinstein unless otherwise stated.
Local copies of Joel Feinstein's
e-prints
The local e-prints of my papers kept
here include some minor corrections to typos etc. in the published
versions of the papers. For reviews of my research papers
(including those published before 1998) see MathSciNet
or ZentralBlatt
See also the University
of Nottingham Research Repository (abbreviated to UoN
repository below)
The papers listed below are in
reverse date order within each grouping.
Research publications
- (With A. Izzo) Weakly strongly regular uniform algebras,
Proceedings of the American
Mathematical Society (in
press): UoN
repository
- (With A. Izzo) Weak
sequential completeness of uniform algebras, Bulletin
of the Irish Mathematical Society, 92, 27-32: DOI 10.33232/bims.0092.27.32,
pdf
- Factorization in commutative Banach algebras, Studia
Mathematica, 259 (2021), 79-120: DOI 10.4064/sm191216-22-7,
UoN
repository
- Regularity
of
R(X)
does not pass to finite unions, Proceedings
of
the American Mathematical Society, 48 (2020), 2931–2936: DOI 10.1090/proc/14944, pdf
- (With A. Izzo) A general
method for constructing essential uniform algebras, Studia
Mathematica, 246 (2019), 47-61: pdf
This is the "online first" version of the published paper,
published online in 2018, reproduced here with the permission
of IMPAN.
- (with S. Morley) Quasianalyticity
in
Certain Banach Function Algebras, Studia
Mathematica, 238 (2017), 133-153: pdf
This is the "online first" version of the published paper,
reproduced here with the permission of IMPAN.
- (With T. Chaobankoh and S. Morley) The chain rule for
F-differentiation, Irish
Math.
Soc. Bulletin, 77,
2016, 19-34: pdf
This is the final, published version of the paper, reproduced
here with the permission of the Irish
Mathematical Society.
- (With H. Yang) Regularity points and Jensen measures for
R(X), Studia Mathematica, 235 (2016), 1-15: pdf
This is the "online first"
version of the published paper, reproduced here with the
permission of IMPAN.
- (With S. Morley and H. Yang) Abstract Swiss Cheese Space
and Classicalisation of Swiss Cheeses, Journal
of Mathematical Analysis and Applications 438 (2016),
119-141: Open Access funded by EPSRC, http://dx.doi.org/10.1016/j.jmaa.2016.02.004
- (With J. Craig and P. Patrick) Removability of
exceptional sets for differentiable and Lipschitz functions,
Function Spaces in Analysis, 63-68, Contemp. Math., 645,
Amer. Math. Soc., Providence, RI, 2015: pdf
- (With S. Morley and H. Yang) Swiss cheeses and their
applications, Function Spaces in Analysis, 99-118, Contemp.
Math., 645, Amer. Math. Soc., Providence, RI, 2015: pdf
- (With R. Mortini) Partial
regularity and t-analytic sets for Banach function algebras,
Math. Zeitschrift 271
(2012), 139-155: pdf
- (With H. Kamowitz) Quasicompact
endomorphisms
of commutative semiprime Banach algebras, Banach Algebras 2009,
Banach Center Publications, Volume 91 (2010), 159-167: pdf
- (With H. G. Dales) Normed
algebras of differentiable functions on compact plane sets,
Indian Journal of Pure and Applied Mathematics (Platinum
Jubilee special issue), 41 (2010), 153-187: pdf
- (With M. J. Heath) Swiss
cheeses, rational approximation and universal plane curves,
Studia Mathematica, 196 (2010), 289-306: pdf
- (With H. G. Dales) Banach
function algebras with dense invertible group, Proceedings
of the American Mathematical Society, 136 (2008), no. 4,
1295-1304 : pdf, see
also Joel Feinstein's Beamer
Presentations
- (With M. J. Heath) Regularity
and
amenability conditions for uniform algebras, Function
Spaces, 159-169, Contemp. Math., 435, Amer. Math.
Soc., Providence, RI, 2007: pdf
- Countable linear combinations
of characters on commutative Banach algebras, Function
Spaces, 153-157, Contemp. Math., 435, Amer. Math.
Soc., Providence, RI, 2007: pdf
- Convergence from below
suffices, Irish Mathematical Society Bulletin,
59 (2007), 65-70: pdf
- (With T. J. Oliver) Extensions
of
endomorphisms of C(X), Proceedings of the American
Mathematical Society, 135 (2007), no. 1, 109-117 (published
electronically June 28 2006): ps,
pdf
- (With H. Kamowitz) Quasicompact
and
Riesz endomorphisms of Banach algebras, Journal of
Functional Analysis 225 (2005) 427-438: ps, pdf
- (With W.J. Bland) Completions
of
normed algebras of differentiable functions, Studia
Mathematica 170 (2005), 89-111: ps, pdf
- (With H. Kamowitz) Compact
homomorphisms between Dales-Davie algebras, Banach
Algebras and their Applications, Contemporary Math., Amer.
Math. Soc., Providence, R.I., 2004, Vol. 363, 81-88: ps, pdf
- A counterexample to a
conjecture of S.E. Morris, Proceedings of the
American Mathematical Society, 132 (2004), 2389-2397: ps, pdf
- (With H. Kamowitz) Compact
endomorphisms of Banach algebras of infinitely differentiable
functions, Journal of the London Mathematical
Society, 69 (2004), 489-502. ps,
pdf
- (With T.W. Dawson) On the
denseness of the invertible group in Banach Algebras, Proceedings
of the American Mathematical Society 131 (2003),
2831-2839: ps, pdf
- (With E. Kaniuth and D.W.B. Somerset) Spectral synthesis and topologies
on ideal spaces for Banach *-algebras, Journal of
Functional Analysis, 196 (2002) 19-39: ps, pdf
- (With D.W.B. Somerset) Spectral
Synthesis
for Banach algebras II, Mat. Z. 239 (2002)
183-213: ps, pdf
- Trivial Jensen measures
without regularity, Studia Mathematica 148
(2001) 67-74: ps, pdf
Includes a correction to an error in the
formula in Lemma 3
- (With H. Kamowitz) Endomorphisms
of
Banach algebras of infinitely differentiable functions on
compact plane sets, Journal of Functional Analysis
173 (2000), 61-73: ps, pdf
- (With D.W.B. Somerset) Non-regularity
for
Banach function algebras, Studia Mathematica
141 (2000) 53-68: ps, pdf
- (With H. Kamowitz) Compact
endomorphisms of H
(D), Studia Mathematica
136 (1999) 87-90: ps, pdf
- Strong Ditkin algebras
without bounded relative units, Internat. J. Math.
& Math. Sci 22 (1999), 437-443: ps, pdf
Includes a correction to the definition of
Ditkin's condition
- (With D.W.B. Somerset) Strong
regularity
for uniform algebras, Proceedings of the 3rd
conference on Function Spaces, Edwardsville, 1998
Contemporary Math. (Ed: K. Jarosz), Amer. Math. Soc.,
Providence, R.I., Vol. 232, 139-148: ps, pdf
- (With D.W.B. Somerset) A
note on ideal spaces of Banach Algebras, Bull.
London Math. Soc. 30 (1998) 611-617: ps, pdf
Teaching publications
See also my blog Explaining
Mathematics,http://explainingmaths.wordpress.com/ , and, in particular, my screencasts
web page http://explainingmaths.wordpress.com/screencasts/
- Overview of the METAL project, in Media
Enhanced
Teaching and Learning: case studies and evidence of effective
use (Ed. Peter Rowlett), MSOR Network, 2012.
- (With Peter Rowlett) Media
Enhanced Teaching and Learning, MSOR Connections (HE STEM
special issue), Vol 11, No. 3, 2011, pages
37-38: pdf
The full issue is available online at http://journals.heacademy.ac.uk/toc/msor/11/3
- Using a tablet PC and
screencasts when teaching mathematics to undergraduates,
case study, from the MoreMathsGrads collection Maths at
University: reflections on experience, practice and provision,
editors Mike Robinson, Neil Challis and Mike Thomlinson (2010):
pdf
For the full collection, see http://maths.sci.shu.ac.uk/moremathsgrads/
- Using a tablet PC and audio
podcasts in the teaching of undergraduate mathematics modules,
adapted from a case study appearing in Giving a Lecture,
Exley and Dennick (April 2009): pdf
Page maintained by Joel Feinstein,
Joel.Feinstein@nottingham.ac.uk,
https://explainingmaths.wordpress.com