curriculum of anna avallone - Università degli Studi della Basilicata

CURRICULUM di ANNA AVALLONE
- Laureata in Matematica con lode presso l'Università di Napoli nel
1983.
 Ammessa al Dottorato di Ricerca in Matematica presso
l'Università di Napoli e conseguimento del titolo di Dottore di
Ricerca nel 1990.
 Nell'a.a. 1990-91 Borsista di Ricerca dell'Istituto Nazionale di
Alta Matematica.
 Dal 1991 al 2001 Ricercatrice di Analisi Matematica presso la
Facoltà di Scienze MM.FF.NN. Dell'Università della Basilicata.
 Attuale posizione: dal 2001 Professore Associato di Analisi
Matematica presso la Facoltà di Scienze dell'Università della
Basilicata.
 Dal 2006 al 2010 Presidente del Corso di laurea in Matematica
dell'Universita' della Basilicata.
- Referee per riviste internazionali e recensore del Zentralblatt e del
Mathematical Review.
- Membro dell'International Quantum Structure Association, che
riunisce studiosi di tutto il mondo di teoria della misura noncommutativa.
 Autrice di 47 lavori pubblicati su riviste internazionali
nell'ambito della teoria della misura
CURRICULUM OF ANNA AVALLONE
 Degree in Mathematics at the University of Napoli in 1983 with
grades 110/110 cum laude.
 PhD in Mathematics at the University of Napoli. PhD degree
obtained after the final examination passed on 1990.
 INDAM (National Institute of High Mathematics) post-doctorate
scholarship at the University of Basilicata in 1990-91.
 Assistant Professor in Mathematical Analysis at the Faculty of
Sciences of the University of Basilicata from 1991 70 2001.
 President of Degree Course in Mathematics of the University of
Basilicata from 2006 until 2010.
 Referee for international journals and reviewer of Zentralblatt
and Mathematical Review.
 Member of the International Quantum Structure Association.
 Author of 47 papers, published in international journals, on
measure theory.
PUBLICATIONS
1. A. Avallone. Spaces of measurable functions I. Ricerche Mat., vol. XXXIX,
fasc. 2, 221-246 (1990).
2. A. Avallone-A. Basile. Integration: Uniform structure. J. Math. Anal. Appl.
159, No. 2, 373-381 (1991).
3. A. Avallone. The topological dual of $ L _0. $ Annal. Societ. Math. Polon.
Series I: Comment. Math., vol. XXXI, 15-23 (1991).
4. A. Avallone-G. Trombetta. Measures of noncompactness in the space $ L _0 $
and a generalization of the Arzelà-Ascoli theorem. Boll. U.M.I. (7), 5-B, 573-587
(1991)
5. A. Avallone. Spaces of measurable functions II. Ricerche Mat., vol. XL, fasc.
1, 3-19 (1992).
6. A. Avallone-A.Basile. On the Liapunov-Richter theorem in the finitely
additive setting. J. Math. Econom. 22, 557-561 (1993).
7. A. Avallone. Orlicz spaces generated by a family of pseudonorms. Annal.
Societ. Math. Polon. Series I: Comment. Math. 34, 1-20 (1994).
8. A. Avallone-A. Valente. A decomposition theorem for submeasures. Atti Sem.
Mat. Fis. Univ. Modena 43, 81-90 (1995).
9. A. Avallone. Liapunov theorem for modular functions. Internat. J. Theoret.
Phys. 34, No. 8, 1197-1204 (1995).
10. A. Avallone-J. Hamhalter. Extension theorems (vector measures on quantum
logics).Czech. Math. J. 46 (121), 179-192 (1996).
11. A. Avallone-H. Weber. Lattice uniformities generated by filters. J. Math.
Anal. Appl 209, 507-528 (1997).
12. A. Avallone-G. Barbieri. Range of finitely additive fuzzy measures.Fuzzy
Sets and Systems 89, 231-241 (1997).
13. A. Avallone-A. Basile. On the Liapunov-Richter theorem in B-convex spaces.
J. Math. Econom 30, 109-118 (1998).
14. A. Avallone-M.A. Lepellere. Modular functions: Uniform boundedness and
compactness. Rendic. Circ. Mat. Palermo XLVII, 221-264 (1998).
15. A. Avallone-G. Barbieri-R. Cilia. Control and separating points of modular
functions. Math. Slovaca 49, no. 2, 155-182 (1999).
16. A. Avallone. Nonatomic vector-valued modular functions. Annal. Societ.
Math. Polon. Series I: Comment. Math. XXXIX, 37-50 (1999).
17. A. Avallone-A. De Simone. Extensions of modular functions on
orthomodular lattices. Ital. J. Pure Appl. Math. n.9, 109-122 (2001)
18. A. Avallone. Lattice uniformities on orthomodular structures.Math. Slovaca
51, no. 4, 403-419 (2001).
19. A. Avallone. Modular functions on multilattices. Czech. Math. J. 52 (127),
no. 3, 499-512 (2002).
20. A. Avallone-A. Basile. On a Marinacci uniqueness theorem for measures . J.
Math. Anal. Appl. 286, n.2, 378-390 (2003).
21. A. Avallone-P. Vitolo. Ideals and congruences of effect algebras.Order 20,
67-77 (2003).
22. A. Avallone-P. Vitolo. Decomposition and control theorems for measures on
effect algebras. Sci. Math. Japon. 58, no.1, 1-14 (2003).
23. A. Avallone-G. Barbieri. Liapunov measures on effect algebras. Comment.
Math. Univ. Carolinae 44, n. 3, 389--397 (2003).
24. A. Avallone-G. Barbieri-P. Vitolo. Hahn decomposition of modular measures
and applications. Annales Soc. Math. Polon. Series I: Comment. Math. XLIII,
149-168 (2003).
25. A. Avallone. Liapunov modular functions. Rendiconti Circ. Mat. Palermo
53,195-204 (2004).
26. A. Avallone-A. Basile. On a linearity theorem for measures. Scientiae
Mathematicae Japonicae. Sci. Math. Japon. 10, 471-484 (2004).
27. A. Avallone-P. Vitolo. Lattice uniformities on effect algebras. Intern. J.
Theoret. Phys. 44, no. 7, 793-806 (2005).
28. A. Avallone-A. De Simone-P. Vitolo. Effect algebras and extensions of
measures. Bollettino U.M.I. 9-B, 423-444 (2006).
29. A. Avallone. Cafiero and Nikodym boundedness theorems in effect algebras.
Ital. J. Pure and Appl. Math. 20, 203-214 (2006).
30. A. Avallone-A. Basile-P. Vitolo. Positive operators a la Aumann-Shapley on
spaces of functions on D-lattices.Positivity 10, No. 4, 701-719 (2006).
31. A. Avallone. Separating points of measures on effect algebras. Math. Slovaca
57, No. 2, 129-140 (2007).
32. A. Avallone-S. Rinauro-P. Vitolo. Boundedness and convergence theorems in
effect algebras. Tatra Mountains Math. Publ. 35, 159-174 (2007).
33. A. Avallone-G.Barbieri-P. Vitolo. On the Alexandroff decomposition
theorem. Math. Slovaca 58, No.1, 1-16 (2008).
34. A. Avallone-P. Vitolo. Effect algebras with the Subsequential Interpolation
Property. Soft Computing 12, No. 6, 559-565 (2008).
35. A. Avallone-P. Vitolo. Lyapunov decomposition of measures on effect
algebras. Sci. Math. Japonica 69, No. 1, 633-641 (2009).
36. A. Avallone-G. Barbieri-P. Vitolo-H. Weber. Decomposition of effect
algebras and the Hammer-Sobczyk theorem.Algebra Universalis 60, 1-18 (2009).
37. A. Avallone-G. Barbieri-P. Vitolo. Central elements in pseudo-D-lattices and
Hahn decomposition theorem. Bollettino U.M.I. 9, No. 3, 447-470 (2010).
38. A. Avallone-P. Vitolo. Lattice uniformities on pseudo-D-lattices. Math.
Slovaca 62, no.6, 1-26 (2012).
39. A. Avallone-P. Vitolo. Pseudo-D-lattices and topologies generated by
measures. It. J. Pure Applied Math. 29, 25-42 (2012).
40. A. Avallone-P. Vitolo. Lebesgue decomposition and Bartle-DunfordSchwartz theorem in pseudo-D-lattices. Acta Math. Sci. 33 B(3), 1–25 (2013).
41. A. Avallone-G. Barbieri- P. Vitolo- H. Weber. Openess of measures and
closedness of their range. Journ. Math. Anal. Appl. 404, 57-63 (2013).
42.A. Avallone-G. Barbieri- P. Vitolo. Pseudo-D-lattices and Lyapunov
measures. Rendiconti Circolo Mat. Palermo 62, 301-314 (2013).
43.
A. Avallone-P. Vitolo. Pseudo-D-lattices and separating points of
measures Fuzzy Sets and Systems 289, 43-63 (2016).
44. A. Avallone-A. De Simone - P. Vitolo. Extensions of measures on pseudo-
D-lattices. Math. Slovaca 66, no. 2, 1-18 (2016).
45. A. Avallone-G. Barbieri-P. Vitolo-H. Weber. Decomposition of pseudo-
effect algebras and the Hammer-Sobczyk decomposition. Order (In corso
di stampa).
46. A. Avallone. Measure games on pseudo-D-lattices. Math. Slovaca (In
corso di stampa).
47. A. Avallone.
An Aumann-Shapley type operator on pseudo-D-lattices
Sottomesso per la pubblicazione (2016).