The Seventh Conference on Function Spaces was held at Southern Illinois Uni-
versity at Edwardsville, from May 20 to May 24, 2014. It was attended by over
one hundred participants from 30 countries. The lectures covered a broad range of
topics, including spaces and algebras of analytic functions of one and of many vari-
ables (and operators on such spaces), Lp-spaces, spaces of Banach-valued functions,
isometries of function spaces, geometry of Banach spaces, and other related sub-
jects. The main purpose of the Conference was to bring together mathematicians
interested in various problems within the general area of function spaces and to al-
low a free discussion and exchange of ideas with people working on exactly the same
problems as well as with people working on related questions. Hence, most of the
lectures, and therefore the papers in this volume, have been directed to non-experts.
A number of articles contains an exposition of known results (known to experts)
and open problems; other articles contain new discoveries that are presented in a
way that should be accessible also to mathematicians working in different areas of
function spaces.
The Conference was the seventh in a sequence of Conferences on Function Spaces
at SIUE; the previous Conferences were held in May of 1990, 1994, 1998, 2002, 2006
and 2010. The Proceedings of the first two conferences were published with Marcel
Dekker in Lecture Notes in Pure and Applied Mathematics series (#136 and #172),
and the Proceedings of the last four conference were published by the AMS in the
Contemporary Mathematics series (#232, #328 #435 and #547).
The abstracts, the schedule of the talks, and other information, as well as the pic-
tures of the participants are available on the Conference WEB page at
This material is based upon work supported by the National Science Foundation
under Grant No. 1400661. Any opinions, findings, and conclusions or recommen-
dations expressed in this material are those of the author(s) and do not necessarily
reflect the views of the National Science Foundation. Additional fundings were
provided by the Southern Illinois University. The editor would like to thank every-
one who contributed to the Proceedings: the authors, the referees, the sponsoring
institutions, and the American Mathematical Society.
The Conference gave us all an opportunity to meet with colleagues from other
universities and countries. Unfortunately in late November we learned about the
passing of one of the participants and contributors to this volume and a dear friend
of many of us, Jim Jamison. We will all miss him greatly, but we will always re-
member and appreciate his remarkable contributions to many areas of analysis.
Krzysztof Jarosz
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