**BACKGROUND**

Dr. Mirella Cappelletti Montano was born in 1976.

She graduated magna cum laude in December 1999 in Mathematics at the University of Bari and got a Ph.D. in Mathematics at the University of Bari in March 2003, defending the Thesis: ”Problemi di Approssimazione per Operatori Positivi in Spazi Adattati” (Advisor: Prof. F. Altomare, University of Bari). During the Ph.D., she spent six months at the Department of Mathematics of the Louisiana State University.

In March 2004 she got a Research Fellowship at the Department of Mathematics of the University of Bari and in January 2005 she got a position as researcher at the Department of Mathematics of the University of Bari.

**RESEARCH
INTERESTS**

Locally convex lattices of continuous functions

Operator Theory

Korovkin-type approximation theory

Generation and approximation of positive semigroups

Dynamical models

**PUBLICATIONS**

F. Altomare, M. Cappelletti Montano,

*Affine projections on adapted subalgebras of continuous functions,*Positivity**9**(2005), no. 4, 625–643.F. Altomare, M. Cappelletti Montano,

*Korovkin-type theorems in regular locally convex vector lattices of continuous functions – Part I*, Studia Math.**171**(3) (2005), 239–260.F. Altomare, M. Cappelletti Montano,

*Korovkin-type theorems in regular locally convex vector lattices of continuous functions – Part II*, Studia Math.**172**(1) (2006), 69–90.F. Altomare, M. Cappelletti Montano,

*On some density theorems in regular vector lattices of continuous functions,*Collect. Math.**58**(2) (2007), 131–149.F. Altomare, M. Cappelletti Montano,

*On a class of vector lattices of continuous function spaces and related approximation/density problems*, Proceedings of the International Symposium on BANACH and FUNCTION SPACES 2006, Kyushu Institute of Technology, Kitakyushu, Japan, 14-17 September 2006, Yokohama Publisher, Inc. (2008), 25-50.M. Cappelletti Montano, S. Diomede,

*Modified Bernstein-Schnabl operators on compact convex subsets of locally convex spaces and their limit semigroups*, Comm. Appl. Anal.**13**(4) (2009), 609-632.F. Altomare, M. Cappelletti Montano, V. Leonessa,

*On a generalization of Kantorovich operators on simplices and hypercubes,*Adv. Pure Appl. Math.**1**(3) (2010), 359-385.F. Altomare, M. Cappelletti Montano, S. Diomede,

*Degenerate elliptic operators, Feller semigroups and modified Bernstein-Schnabloperators,*Math. Nachr.**284,**n.5-6 (2011), 587-607.F. Altomare, M. Cappelletti Montano, V. Leonessa,

*Iterates of multidimensional Kantorovich-type operators and their associated positive C_0-semigroups,*Stud. Univ. Babeş-Bolyai Math.**56**(2011), no. 2, 219-235.F. Altomare, M. Cappelletti Montano, V. Leonessa,

*On a generalization of Szász-Mirakjan-Kantorovich operators,*Results Math.**63**(2013) no. 3-4, 837-863.M. Cappelletti Montano, V. Leonessa,

*Approximation of some Feller semigroups associated with a modification of Szász-Mirakjan-Kantorovich operators,*Acta Math. Hungar.**139**(2013), no. 3, 255-275.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa,

*On**differential operators associated with Markov operators,*J. Funct. Anal.**266**(2014), no. 6, 3612-3631.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa,

*On Markov operators preserving polynomials,*J. Math. Anal. Appl.**415**(2014), no. 1, 477-495.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa, Markov Operators, Positive Semigroups and Approximation Processes,

*de Gruyter Studies in Mathematics***61**, Walter de Gruyter GmbH, Berlin/Boston, 2014.M. Cappelletti Montano, V. Leonessa,

*Generalized Kantorovich operators on Bauer simplices and their limit semigroups,*Numeric. Funct. Anal. Opt.**38**(6) (2017), 723-737.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa,

*A generalization of Kantorovich operators for convex compact subsets,*Banach J. Math. Anal.**11**(3) (2017), 591-614.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa,

*Differential operators and approximation processes generated by Markov operators,*In: Intergral Methods in Science and Engineering, V. 1: Theoretical Techniques, pp. 9-19, Birkauser Verlag, 2017.F. Altomare, M. Cappelletti Montano, V. Leonessa, I. Rasa,

*Elliptic differential operators and positive semigroups associated with generalized Kantorovich operators,*J. Math. Anal. Appl.**258**(1) (2018), 153-173.M. Cappelletti Montano, B. Lisena,

*Diffusive Holling-Tanner predator-prey models in periodic environments,*Applied Math. Letters**87**(1) (2019), 42-49.F. Altomare, M. Cappelletti Montano, V. Leonessa,

*On the positive semigroups generated by Fleming-Viot type differential operators,*Comm. Pure Appl. Anal.**18**(1) (2019), 323-340.T. Acar, M. Cappelletti Montano, P. Garrancho, V. Leonessa,

*On sequences of J. P. King-type operators*, J. Funct. Spaces, Volume 2019, Article ID 2329060, 12 p.M. Cappelletti Montano, V. Leonessa,

*A generalization of Bernstein-Durrmeyer operators on hypercubes by means of an arbitrary measure*, Stud. Univ. Babeş-Bolyai Math.**64**(2) (2019), 239-252.M. Cappelletti Montano, V. Leonessa,

*A**sequence of Kantorovich-type operators on mobile intervals,*Constr. Math. Anal.**2**(3) (2019), 130-143.Leonessa V., T. Acar, M. Cappelletti Montano, P. Garrancho,

*Operator Methods in Approximation Theory*, J. Funct. Spaces, Volume 2019, Article ID 3426301, Editorial.M. Cappelletti Montano, B. Lisena,

*Global dynamics in Holling-Tanner models with impulses,*Dynam. Cont. Discr. Impuls. Systems, Series A: Mathematical Analysis**26**(2019), 329-347.T. Acar, M. Cappelletti Montano, P. Garrancho, V. Leonessa,

*On Bernstein-Chlodowsky operators preserving e^{-2x},*Bull. Belg. Math. Soc. Simon Stevin, to appear.M. Cappelletti Montano, B. Lisena,

*Diffusive Lotka-Volterra competition models on periodically evolving domains,*J, Math. Anal. Appl.,**484**(1) (2020).T. Acar, M. Cappelletti Montano, P. Garrancho, V. Leonessa,

*Voronovskaya type results for Bernstein-Chlodovsky operators preserving e^{-2x}*, J. Math. Anal. Appl. 491(1) (2020), art. 124307.

**POSTERS
AND COMUNICATIONS**

Seminario
dal titolo *Positive
projections*,
27/09/2001, Department of Mathematics, Louisiana State University.

Seminario
dal titolo *Proiettori
affini su sottoalgebre adattate di funzioni continue*,
04/06/2002, Dipartimento di Matematica, Università degli Studi di
Bari.

Poster
*Affine
projections on adapted subalgebras of continuous functions *presented
at the Summer School “Operator Methods for Evolution Equations and
Approximation Problems”, 15–21 September 2002, Monopoli (BA).

*Affine
projections on adapted subalgebras of continuous functions*,
“Operator Theory and Operator Algebras”, 23–28 June 2003, Torre
Normanna (PA).

*Affine
projections on adapted subalgebras of continuous functions*,
“The Wadislaw Orlicz Centenary Conference and Function Spaces VII”,
21–25 July 2003, Poznan, Poland.

*Korovkin-Type
theorems in regular locally convex vector lattices of continuous
functions*,
“5th International Conference on Functional Analysis and
Approximation Theory FAAT 2004”, 16–23 June 2004, Acquafredda di
Maratea (PZ).

*Korovkin-Type
theorems in regular vector lattices of continuous functions*,
“International Conference on Functional Analysis, Operator Theory
and Applications”, 19–25 September 2005, Mondello (PA).

*On
some density theorems in regular vector lattices of continuous
functions*,
“XII Meeting on Real Analysis and Measure Theory”, 3–7 July
2006, Ischia (NA).

*Teoremi
di tipo Stone-Weierstrass in reticoli regolari di funzioni continue*,
“XVIII Congresso dell’Unione Matematica Italiana”, 24–29
September 2007, Bari.

*On
a new sequence of positive linear operators in finite-dimensional
settings, *Functional
Analysis: Methods and Applications FAMA 2008, 03-07 June 2008,
Amantea (CS).

*Degenerate
elliptic operators, Feller semigroups and modified Bernstein-Schnabl
operators, *Function
Spaces IX, 05-11 July 2009, Krakòw, Poland.

*On
a generalization of Kantorovich operators on simplices and
hypercubes*,
6^{th}^{
}International
Conference on Functional Analysis and Approximation Theory FAAT2009,
Acquafredda di Maratea (PZ), 24-30 September 2009.

*Second
order differential operators associated with Kantorovich-type
operators*,
I Jaen Conference on Approximation Theory Ubeda,
Jaen, Spain, July 4-9, 2010.

*On
a new sequence of positive linear operators on unbounded intervals,
*Second
International Conference on Numerical Analysis and approximation
Theory NAAT 2010, Cluj-Napoca, September 23-26, 2010.

*C_0-semigruppi
associati a una generalizzazione degli operatori di Kantorovich sull’
ipercubo, *XIX
Congresso dell’Unione Matematica Italiana, Bologna, 12-17 September
2011.

Seminario
su invito "*Operatori
differenziali associati a operatori di tipo Kantorovich*",
17/04/13, Dipartimento di Matematica, Informatica ed Economia,
Università degli Studi della Basilicata.

*On
some differential operators on hypercubes, *Positivity
VII,
Leiden, 22-26 July, 2013.

Seminario
dal titolo *Operatori
differenziali, semigruppi di Feller e processi di approssimazione
positivi,*
Dipartimento
di Matematica, Università degli Studi di Bari “A. Moro”, 28
Maggio 2014 (Nell’ambito dell’attività seminariale dei Colloqui
Matematici).

A*symptotic
formulae for Bernstein-Schnabl operators associated with Markov
operators,*
in:
First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, June
30-July 04 2014, Bilbao (Spain).

*Differential
operators, Markov semigroups and Bernstein-Schnabl operators*,
in: Convegno Numerical Analysis and Approximation Theory NAAT 2014,
Cluj-Napoca (Romania) September 17-20 2014.

*Operatori
differenziali ellittici, semigruppi di Markov e operatori di
Bernstein-Schnabl*,
in: XX Congresso dell'Unione Matematica Italiana, Siena, 7-12
Settembre 2015.

*Operatori
differenziali ellittici e semigruppi positivi associati ad operatori
di tipo Kantorovich, *in:
Equazioni di evolizione, risultati recenti e prospettive, Lecce 18-18
Giugno 2018.

*Generalized
Kantorovich operators and their limit semigroups, *in
International Conference on Mathematics ICOM 2018, Minisymposium on
Approximation Theory, July 3-6 2018, Istanbul, Turchia.

*On
the positive semigroups generated by Fleming-Viot type differential
operators *in
Forth International Conference on Numerical Analysis and
Approximation Theory NAAT 2018, September 6-9 2018, Cluj-Napoca,
Romania.

Comunicazione
dal titolo *Bernstein-Durrmeuyer
type operators on hypercubes*
in X Jaen Conference on Approximation Theory, 30 Giugno-5 Luglio
2019, Ubeda, Spagna.

Comunicazione
dal titolo *Semigruppi
di Markov associati ad operatori di tipo Kantorovich*
in XXI Congresso dell'Unione Matematica Italiana, Pavia, 2-7
Settembre 2019.

Comunicazione
dal titolo *On
some generalizations of Bernstein-Durrmeyer operators on **hypercubes*
in Multivariate Approximation: Theory and Applications MATA, Perugia,
16-18 Gennaio 2020.

**ORGANIZATION
OF CONFERENCES**

*6*^{th}^{ }*International Conference on Functional Analysis and Approximation Theory FAAT2009*, Acquafredda di Maratea (PZ), September 24-30, 2009.*Recent Developments in Functional Analysis and Approximation Theory RDFAAT 2011*, Lecce, September 22-24, 2011.*International Workshop on Approximation Theory and Applications, IWATA 2013,*Rifreddo (PZ, Italy), September 12-13, 2013.

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