Symposium 40 – Sarajevo, 2016 — Real Analysis Exchange

SUMMER SYMPOSIUM IN REAL ANALYSIS XXXX
"The Sarajevo - Several Peoples - Single Dream Symposium"

International University of Sarajevo, Sarajevo, Bosnia and Herzegovina
June 19-25, 2016

The 40th Summer Symposium in Real Analysis (The Sarajevo - Several Peoples - Single Dream Symposium) was held at International University of Sarajevo in Sarajevo, Bosnia and Herzegovina from June 19 through June 25, 2016. The symposium's co-directors were Harry Miller and Paul Humke. We would like to thank the International University of Sarajevo, particularly Naida Fetic for her efforts on behalf of the symposium and its participants and Ellie Greiber for helping keep things up to date prior to the symposium.

In addition to the formal mathematical program, time was set aside for research collaboration.

This year's "ANDY'' was awarded to a shocked, but grateful Luisa Di Piazza. Congratulations, Luisa!

The conference featured invited one-hour plenary addresses by:

LUISA DI PIAZZA

Institution: Department of Mathematics and Computer Science, University of Palermo (Italy)

Address: Via Archirafi 34, 90123 Palermo (Italy)

Phone: 0039-09123891078

Email: luisa.dipiazza@unipa.it

Career: Since November 2000, Full Professor of Mathematical Analysis at the University of Palermo. Degree in Mathematics in 1972, Fellow of C.N.R. 1972-74, Research Fellow 1974-80, Assistant 1980-88 and Associate Professor 1988-2000, at the University of Palermo.

Other Positions: Visiting Professor at the Universities of Erlangen, Manila, Ulster, Wrocraw, Mosca (University of Lomonosov), Murcia, Suceava ("Stefan cel Mare" University) and at the Czech Academy of Sciences in Prague.

Her current research fields are Real Analysis, Vector Meausures, Integration and Applications. Author of over 50 publications, she has several international collaborations (with U.B. Darji, V. Kadets, K. Musial, W. Pfeffer, D. Preiss, D.R. Satco, V.A. Skvortsov).
Lately she has worked on various aspects of multifunctions related to vector valued integration and on their applications in mathematical economics.
She has served as a principle speaker at many of national and international meetings.
Organizer or coorganizer of international meetings on Real Analysis and Measure Theory (RAE Erice, 1994, Integration Vector Measures and related topics Palermo 2012 and Bedlewo 2014).

Publications 2000-2015:

L. Di Piazza, V. Marraffa and B. Satco, Set valued integrability and measurability in non separable Fréchet spaces and applications, in print on Math. Slovaca.
D. Bongiorno, D. Darji and L. Di Piazza, Rolewicz-type chaotic operators, J. Math. Anal. Appl. 431 (2015), no. 1, 518-528. 47A16.
L. Di Piazza and G. Porcello, Radon-Nikodym theorems for finitely additive multimeasures, Z. Anal. ihre. Anwend. (ZAA) 34 (2015), no 4, 373-389.
B. Bongiorno, D. Darji and L. Di Piazza, Lineability of non-differentiable Pettis primitives, Monatsh. Math. 177 (2015), no. 3, 345-362.
D. Caponetti, L. Di Piazza and V. Kadets, Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions, Jour. Math. Anal. Applic 421 (2015), pp. 1151-1162.
L. Di Piazza and K.Musial, Relations among Henstock, McShane and Pettis integrals for multifunctions with compact convex values, Monatsh. Math., Vol. 173, Issue 4 (2014), pp. 459-470.
B. Bongiorno, L. Di Piazza and K.Musial, Differentiation of an additive interval measure with values in a coniugate ti Banach space, Functiones et Approximatio Commentarii Mathematici, (2014), 169-180.
L. Di Piazza and K.Musial, Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space, Jour. Math. Anal. Applic. Vol. 408 (2013), pp. 452-464.
B. Bongiorno, L. Di Piazza and K.Musial, A Decomposition Theorem for the Fuzzy Henstock Integral, Fuzzy Sets and Systems, vol. 200 (2012), pp. 36-47.
B. Bongiorno, L. Di Piazza and K.Musial, Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis, Acta Math. Sin. (Engl. Ser.), vol. 28 (2) (2012), pp. 219-234.
L. Di Piazza and K.Musial, A decomposition of Denjoy-Khintchine-Pettis and Henstock-Kurzweil-Pettis integrable multifunctions, Vector Measures, Integration and Related Topics (Eds.) G.P. Curbera, G. Mockenhaupt, W.J. Ricker, Operator Theory: Advances and Applications Vol. 201 (2010) pp. 171-182 Birkhauser Verlag, ISBN: 978-3-0346-0210-5 Hardcover.
L. Di Piazza and V. Marraffa, The Fubini and Tonelli theorems for product local systems, Vector Measures, Integration and Related Topics (Eds.) G.P. Curbera, G. Mockenhaupt, W.J. Ricker, Operator Theory: Advances and Applications Vol. 201 (2010) pp. 159-170 Birkhauser Verlag, ISBN: 978-3-0346-0210-5 Hardcover.
B. Bongiorno, L. Di Piazza and K.Musial, A characterization of the weak Radon-Nikodym property by finitely additive interval functions, Bull. Austr. Mat. J. 80 (2009) pp. 476-485.
B. Bongiorno, L. Di Piazza and K.Musial, A variational Henstock integral characterization of the Radon-Nikodym property, Illinois Journal of Mathematics. Volume 53, Number 1 (2009), pp. 87-99.
L. Di Piazza and B. Satco, A new result on impulsive differential equations involving non-absolutely convergent integrals, Jour. Math. Anal. Applic. 352 (2009) pp. 954-963.
B. Bongiorno, L. Di Piazza and K.Musial, Approximation by step functions of Banach space valued nonabsolute integrals, Glasgow Math. J. 50 (3 ), (2008), pp 583-593.
L. Di Piazza and K.Musial, Characterizations of Kurzweil-Henstock-Pettis integrable functions, Studia Math. 176 (2), (2006), pp. 159-176, ISSN: 0039-3223.
B. Bongiorno, L. Di Piazza and K.Musial, Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions, Math. Bohemica 131(2), (2006), pp. 211-223.
L. Di Piazza and K.Musial, A decomposition theorem for compact-valued Henstock integral, Monatsh. Math. 148 (2), (2006), pp. 119-126.
D. Bongiorno, L. Di Piazza and K.Musial, Variational measures related to local systems and the Ward propery of P-adic path bases, Czechoslovak Math. J. 56 (131) (2006), pp. 559-578.
L. Di Piazza and K.Musial, Set valued Kurzweil-Henstock-Pettis integral, Set-Valued Anal. 13 (2), (2005), pp. 167--179.
L. Di Piazza, Kurzweil-Henstock type integration on Banach spaces, Real Anal. Exchange 29 (2), (2003/2004), pp. 543--555.
L. Di Piazza and D. Preiss, When do McShane and Pettis integrals coincide?, Illinois J. Math. 47 (4), (2003), pp. 1177--1187.
B. Bongiorno, L. Di Piazza and V. Skvortsov, The Ward property for a P-adic basis and the P-adic integral, J. Math. Anal. Appl. 285 (2), (2003), 578-592.
B. Bongiorno, L. Di Piazza and V. Skvortsov, On dyadic integrals and some other integrals associated with local systems, Jour. Math. Anal. Applic. 271 (2), (2002), pp. 506-524.
L. Di Piazza and V. Marraffa, An equivalent definition of vector-valued McShane integral by means of partitions of the unity, Studia Math. 151 (2) (2002), 175--185.
L. Di Piazza and V. Marraffa, The McShane, PU and Henstock integrals of Banach valued functions, Czechoslovak Math. J. 52(127) (2002), no. 3, pp. 609--633.
L. Di Piazza, A Riemann-type minimal integral for the classical problem of primitives, Rendiconti dell'Istituto di Matem. dell'Univ. Trieste Vol.XXXIV (2002), pp. 143-153, ISSN: 0049-4704.
L. Di Piazza and K. Musial, A characterization of variationally McShane integrable Banach-space valued functions, Illinois J. Math. 45 (2001), no. 1, pp. 279-289.
L. Di Piazza, Varational measures in the theory of the integration in $R^m$, Czechos. Math. Jour. 51(126) (2001), no. 1, pp. 95-110.
B. Bongiorno, L. Di Piazza and V. Skvortsov, On the n-dimensional Perron integral defined by ordinary derivates, Real Anal. Ex. 26 (1), 2000/2001, pp. 371-380.
B. Bongiorno, L. Di Piazza and V. Skvortsov, On variational measures related to some bases, Jour. Math. Anal. and Applic. 250 (2000), pp. 533-547.
B. Bongiorno, L. Di Piazza and D. Preiss, A constructive minimal integral which includes Lebesgue integrable functions and derivatives, J. London Math. Soc., Vol. 62 (2000), No. 1, pp. 117-126.
B. Bongiorno, L. Di Piazza and K.Musial, An alternate approach to the McShane integral, Real Anal. Ex., 25 (2) 1999/2000, pp. 829-848 .

ALICA MILLER

Alica Miller received her Ph.D. from the Michigan State University in 2001. After that she spent three years as a VIGRE Research Assistant Professor at the University of Illinois at Urbana-Champaign and then one year as a Visiting Assistant Professor at the University of California, Irvine. Since 2005 she has been at University of Louisville, where she is currently an Associate Professor. Her main research interests are in Topological Dynamics and she is currently investigating semiflows with arbitrary acting topological semigroups, for which she was recently awarded a 3 year NSF research grant.

Selected publications:

"Syndetic sensitivity in semiflows'' (with C.~Money), Topology and its Applications, 2016.
"Envelopes of syndetic subsemigroups of the acting topological semigroup in a semiflow,'' Topology and its Applications, 2011.
"Duality between global sections and suspensions,'' Sarajevo Journal of Mathematics, 2008.
"Minimality of some group-extension-type flows in terms of eigenvalues,'' Dynamical Systems, 2008.
"Characterizations of regular almost periodicity in compact minimal abelian flows'' (with J.~ Rosenblatt), Transactions of the AMS, 2004.

HAJRUDIN FEJZIC

Hajrudin Fejzic received his B.S. degree in 1987 from the University of Sarajevo. Hajrudin received his Ph.D. from the Michigan State University, in 1992 under the supervision of C. Weil. Since 1993, he is teaching at California State University San Bernardino. His primary research area is on differentiation properties of real valued functions in one and several variables. In addition, he has written papers covering topics on convex functions, measure theory, numerical integration and number theory. Hajrudin is 2012 recipient of the Andy award.

List of selected publications:

joint with Zivojevic, F. Inequalities for convex functions. Sarajevo Math. 9(22) (2013), no. 2, 187?195. 26A51
joint with Weil, C. A property of Peano derivatives in several variables. Proc. Amer. Math. Soc. 141 (2013), no. 7, 2411?2417.
joint with Freiling, C.; Rinne, D. Linear recurrence relations on measurable sets. J. Lond. Math. Soc. (2) 82 (2010), no. 3, 717?732.
joint with Svetic, R. E.; Weil, C. Differentiation of n-convex functions. Fund. Math. 209 (2010), no. 1, 9?25.
Numerical integration of functions given by data points. Sarajevo J. Math. 4(16) (2008), no. 1, 31?38.
joint with Ash, J. M. Approximate and Lp Peano derivatives of nonintegral order. Studia Math. 170 (2005), no. 3, 241?258.
Infinite approximate Peano derivatives. Proc. Amer. Math. Soc. 131 (2003), no. 8, 2527?2536. 26A24 (26A21)
joint with Ciesielski, K.; Freiling, C. Measure zero sets with non-measurable sum. Real Anal. Exchange 27 (2001/02), no. 2, 783?793. 28A05 (26A21)
joint with Rinne, D.; Weil, C. Extending n times differentiable functions of several variables. Czechoslovak Math. J. 49(124) (1999), no. 4, 825?830. 26B05
On thin sets of circles. Amer. Math. Monthly 103 (1996), no. 7, 582?585. 28-01 (28A80)
Convex functions and Schwarz derivatives. Proc. Amer. Math. Soc. 123 (1995), no. 8, 2473?2477. 26A51
joint with Weil, C. Repairing the proof of a classical differentiation result. Real Anal. Exchange 19 (1993/94), no. 2, 639?643. 26A24

MIROSLAV ZELENÝ

M. Zelený received his Ph.D. from the Charles University in Prague, Czech Republic, in 1997 under the supervision of L. Zajíek. He works at Department of Mathematical Analysis at the Charles University since 1994. Miro's main research interests are in descriptive set theory, real analysis and functional analysis. He focuses mainly on applications of descriptive set theory in analysis. He is a contributing editor of Real Analysis Exchange since 2007.

as well as 37 contributed talks. Following the participant list is the program of the Symposium, and then the summaries of the talks. The editorial board of the EXCHANGE wishes to thank the speakers for preparing these summaries.

PARTICIPANTS

Lenka Rucka, Jana Hantakova, Zuzana Roth, Jun Kawabe, Samuel Roth, Vaclav Vlasak, Ondrej Zindulka, Jacek Marchwicki, Szymon Glab, Marek Bienias, T H Steele, Luia Di Piazza, Filip Strobin, Julia Wódka, Hajrudin Fejzic, Luciano Barbanti, Berenice C. Damasceno, Valentin Skvortsov, Petr Horak, Serpil Pehlivan, Harry I. Miller, Jarosaw Swaczyna, Pam Pierce, Serpil Pehlivan, Nebojša Elez, Ognjen Papaz, Artur Bartoszewicz, Katarzyna Chrząszcz, Martin Rmoutil, Malgorzata Turowska, Giselle Antunes Monteiro, Stanislaw Kowalczyk, Ondrej Kurka, Don Cohn, Bruce Hanson, Tugba Yurdakadim, Eric Samansky, Vojtech Kovarik, Alena Skalova, Tomasz Natkaniec, Jan Koläř, Leila Miller-Van Wieren, Paul Musial, Ali Alikhani, Peter Rejto, Thomas Zurcher, Kornélia Héra, Alexander Zuevsky, Marek Balcerzak, Jacek Hejduk, Miroslav Zeleny, and Alica Miller.