Brief Curriculum vitae

Lawrence A. Fialkow, Distinguished Professor
Department of Computer Science and Department of Mathematics

A.B. (Magna Cum Laude)...Brandeis University....Mathematics....1968

Ph.D....The University of Michigan.... Mathematics....1973

Year.........Rank..........................Institution
1968-68....Asst.Engineer...Sperry Systems Management Corp., Great Neck, NY.
1969-72...Teaching Fellow.....The University of Michigan
1972-73...NSF Graduate Trainee...The University of Michigan
1973-77...Asst. Professor (Mathematics)....Western Michigan University
1977-83...Associate Professor ..... Western Michigan University
1980-81....Visiting Assoc. Prof. (Sabbatical)...The University of Nebraska
1982-83....Visiting Assoc. Prof.......Adelphi University
1983-present....Professor....SUNY New Paltz
1989(Fall)... Visiting Professor (Sabbatical).....The University of Iowa
1991-93....Dept. Chair (Math. and Comp. Sci.).....SUNY New Paltz
1996(Fall)... Visiting Professor (Sabbatical).....The University of Iowa
2003(Fall)...Sabbatical Leave....The University of Iowa
2009 SUNY Distinguished Professor
2010(Spring)... Sabbatical Leave... UC San Diego, The Univ. of Iowa

IV. Publications

1. A note on non-quasitriangular operators, Acta Sci. Math., 36(1974), 209-214.

2. A note on non-quasitriangular operators II, Indiana Univ. Math. J., 23(1973), 213-220.

3. A note on direct sums of quasinilpotent operators, Proc. Amer. Math. Soc., 48(1975), 125-131.

4. The similarity orbit of a normal operator, Trans. Amer. Math. Soc., 210(1975), 129-137.

5. Which operators are similar to partial isometries?, Proc. Amer. Math. Soc., 56(1976), 140-144.

6 . A note on limits of unitarily equivalent operators, Trans. Amer. Math. Soc., 232(1977), 205-220.

7. A note on quasisimilarity of operators, Acta Sci. Math., 39(1977), 67-85.

8. A note on quasisimilarity of operators II, Pacific J. Math., 70(1977), 151-162.

9. A note on the operator X AX - XB, Trans. Amer. Math. Soc., 243(1978), 147-168.

10. A note on unitary cross sections for operators, Canad. J. Math., 30(1978), 1215-1227.

11. (with D. Deckard) Characterization of operators with unitary cross sections, J. Operator Theory, 2(1979), 153-158.

12. Similarity cross sections for operators, Indiana Univ. Math. J., 28(1979), 71-86.

13. (with D. A. Herrero) Characterization of operators with similarity cross sections, preprint circulated in 1978. Appears as Ch. 16 in "Approx. of Hilbert Space Operators. Vol II" (below)

14. Norm ideals and the operator X ® AX - XB, Israel J. Math., 32(1979), 331-348.

15. A note on the range of the operator X ® AX - XB, Illinois J. Math., 25(1981), 112-124.

16. Weighted shifts quasisimilar to quasinilpotent operators, Acta Sci. Math., 42(1980), 71-79.

17. Elements of spectral theory for generalized derivations, J. Operator Theory, 3(1980), 89-113.

18. Elements of spectral theory for generalized derivations II: The semi-Fredholm domain, Canad. J. Math., 33(1981), 1205-1231.

19. Generalized derivations, Topics in Modern Operator Theory, Operator Theory: Advances and Applications, Vol. 2, Birkhauser, 1981, 95-103.

20. Essential spectra of elementary operators, Trans. Amer. Math. Soc., 267(1981), 157-174.

21. Spectral properties of elementary operators, Acta Sci. Math., 46(1983), 269-282.

22. (with D. A. Herrero) Inner derivations with closed range in the Calkin algebra, Indiana Univ. Math. Soc., 33(1984), 185-211.

23. (with D. A. Herrero) Inner derivations with closed range in the Calkin algebra II: The nonseparable case, Rev. Un. Mat. Argentina, 31(1983), 32-39.

24. (with R. Loebl) Elementary mappings into ideals of operators, Illinois J. Math., 28(1984), 139-156.

25. (with C. Apostol, D. Herrero, and D. Voiculescu) Approximation of Hilbert space operators, Vol. II, Research Notes in Mathematics, Number 102, Pitman, 1984, 524 pages.

26. (with D. Herrero) Finite operators and similarity orbits, Proc. Amer. Math. Soc., 93(1985), 601-609.

27. Quasisimilarity and closures of similarity orbits of operators, J. Operator Theory, 14(1985), 215-238.

28. Spectral properties of elementary operators II, Trans. Amer. Math. Soc., 290(1985), 415-429.

29. The index of an elementary operator, Indiana Univ. Math. J., 35(1986), 73-102.

30. (with C. Apostol) Structural properties of elementary properties, Canad. J. Math., 38(1986), 1485-1524.

31. Closures of similarity orbits of operators, Surveys of some recent results in Operator Theory, Vol. 1, Pitman Res. Notes in Math. Series, 171, Longman, 1988, 169-220.

32. (with R. E. Curto) The spectral picture of (L_A ,R_B), J. Functional Analysis, 71(1987), 371-392.

33. (with R. E. Curto) Elementary operators with H¥-symbols, Integral Equations and Operator Theory , 10(1987), 707-720.

34. The range inclusion problem for elementary operators, Mich. Math. J., 34(1987), 451-459.

35. (with R. E. Curto) Similarity, quasisimilarity, and operator factorizations, Trans. Amer. Math. Soc., 314(1989), 225-254.

36. Majorization, factorization and AW* algebras, preprint circulated in 1988, 13 pages (The results appear in the next-listed paper.)

37. (with H. Salas) Majorization, factorization and systems of linear operator equations, Math. Balkanica (New Series), 4(1990), 22-34.

38. (with R.E. Curto) Operator factorizations and quasi-similarity orbits, Operator Theory:Advances and Applications, Vol. 43, 1990, Birkhauser Verlag Basel, 151-164.

39. (with E. Andruchow, D. Herrero, M. Pecuch-Herrero, and D. Stojanoff), Joint similarity orbits with local cross sections, Integral Equations and Operator Theory, 13(1990), 1-48.

40. (with H. Salas) Data exchange and permutation length, Mathematics Magazine, 65(1992), 188-193.

41. (with R. E. Curto) Recursively generated weighted shifts and the subnormal completion problem, Integral Equations and Operator Theory, 17(1993), 202-246.

42. (with R.E. Curto) Recursiveness, positivity, and truncated moment problems, Domingo Herrero Memorial Volume I, Houston J. Math. , 17(1991), 603-635.

43. Structural properties of elementary operators, Elementary Operators & Applications, Editor: Martin Mathieu, World Scientific Publishing Co., 1992, pages 55-113.

44. (with R. E. Curto) Recursively generated weighted shifts and the subnormal completion problem II, Integral Equations and Operator Theory, 18(1994), 369-426.

45. Invertible factorization and operator equations, Acta Sci. Math., 59(1994), 93-120.

46. Positivity, extensions and the truncated complex moment problem, Proc. Symposia Pure Math., Contemporary Mathematics, 185(1995), 133-150.

47. (with R. E. Curto) Solution of the truncated complex moment problem for flat data, Memoirs of the American Mathematical Society, 119(1996) #568, Amer. Math. Soc. Providence, RI, 52 pp.

48. (with R. E. Curto) Flat extensions of positive moment matrices: relations in analytic or conjugate terms, Operator Theory: Advances and Applications, 104(1998).

49. (with R. E. Curto) Flat extensions of positive moment matrices II: recursively generated relations, Memoirs of the American Mathematical Society, no. 648, American Mathematical Society, Providence, 1998.

50. Minimal representing measures arising from rank-increasing moment matrix extensions, Journal of Operator Theory, 42(1999), 425-436.

51. Multivariable quadrature and extensions of moment matrices, preprint, 1997.

52. (with R. E. Curto) The truncated K-moment problem, Transactions of the American Mathematical Society 352(2000), 2825-2855.

53. (with R.E. Curto) The quadratic moment problem for the unit disc and unit circle, Integral Equations and Operator Theory, 38(2000), 377-409.

54. (with R.E. Curto) Solution of the singular quartic moment problem, Journal of Operator Theory, 48(2002) 315-354.

55. Truncated complex moment problems with a zbar z relation, Integral Equations and Operator Theory , 45(2003) 405-435.

56. (with R.E. Curto) A duality proof of Tchakaloff's Theorem, J. Math. Anal. Appl., 269(2002) 519-532.

57. (with. R.E. Curto) Solution of the parabolic moment problem, Integral Equations and Operator Theory, 50(2004), 169-196.

58. (with S. Petrovic) A moment matrix approach to multivariable cubature, Integral Equations and Operator Theory , 52(2005), 85-124.

59. (with R.E. Curto) Truncated K-moment problems in several variables, Journal of Operator Theory, 54(2005), 189-226.

60. (with R.E. Curto) Solution to the truncated hyperbolic moment problem, Integral Equations and Operator Theory , 52(2005), 181-218.

61. (with R.E. Curto and H.M. Moller) The extremal truncated moment problem, Integral Equations and Operator Theory, 60(2008), 177-200.

62. Truncated multivariable moment problems with finite variety, Journal of Operator Theory, 60(2008) 343-377.

63. (with R.E. Curto) An analogue of the Riesz-Haviland Theorem for the truncated multivariable moment problem, Journal of Functional Analysis, 225(2008), 2709-2731.

64. (with J. Nie) Positivity of Riesz functionals and solutions of quadratic and quartic moment problems, Journal of Functional Analysis, 258(2010), 328-356.

65. (with J. Nie) On the closure of positive flat moment matrices, Journal of Operator Theory, to appear.

66. Solution of the truncated moment problem with variety y=x^3, Transactions Amer. Math. Soc., to appear.

67. (with C. Easwaran) Positive linear functionals without representing measures, Operators and Matrices, to appear.