PUBLICATIONS

Florian-Horia VASILESCU

Author of over one hundred research articles and monographs. The following list is only a selection.

A) Monographs

1. Analytic functional calculus and spectral decompositions, Editura Academiei, Bucarest et D. Reidel Publishing Co., Dordrecht, 1982.

2. Banach space complexes (with C.-G. Ambrozie), Kluwer Academic Publishers, Dordrecht/Boston/London, 1995.

B) Articles

1. Some properties of the commutator of two operators, J. Math. Anal. Appl. 23 (1968), 440-446.

2. Residually decomposable operators in Banach spaces, Tôhoku Math. J. 21 (1969), 509-522.

3. On the spectral theory of commutators (with C. Foias), J. Math. Anal. Appl. 31 (1970), 473-486.

4. Residual properties for closed operators on Fréchet spaces, Illinois J. Math. 15 (1971), 377-386.

5. Local capacity of operators, Indiana Univ. Math. J. 21 (1972), 743-749.

6. On Lie's theorem in operator algebras, Trans. Amer. Math. Soc. 172 (1972), 365-372.

7. Uniformly bounded groups in finite W*-algebras (with L.Zsido), Acta. Sci. Math. (Szeged) 36 (1974),189-192.

8. Non-analytic local functional calculus (with C. Foias), Czechoslovak Math. J. 24 (1974), 270-283.

9. An application of Taylor's functional calculus, Rev. Roumaine Math. Pures Appl. 19 (1974), 1165-1167.

10. Non-analytic local spectral properties in several variables (with E. Albrecht), Czechoslovak Math. J. 24 (1974), 430-443.

11. A characterization of the joint spectrum in Hilbert spaces, Rev. Roumaine Math. Pures Appl. 22 (1977), 1003-1009.

12. On pairs of commuting operators, Studia Math. 62 (1978), 203-207.

13. A Martinelli type formula for the analytic functional calculus, Rev.Roumaine Math.Pures Appl. 23 (1978), 1587-1605.

14. Stability of the index of a complex of Banach spaces, J. Operator Theory 2 (1979), 247-275.

15. Spectral mapping theorem for the local spectrum, Czechoslovak Math. J. 30 (1980), 28-35.

16. The stability of the Euler characteristic for Hilbert complexes, Math. Ann. 248 (1980), 109-116.

17. Fredholm operators and the continuity of the Lefschetz number, J. Operator Theory 6 (1981) 143-153.

18. The Künneth formula for Hilbert complexes (with C. Grosu), Integral Equations and Operator Theory 5 (1982), 1-17.

19. Continuous and analytic invariants for deformations of Fredholmcomplexes (with M. Putinar), J. Operator Theory, 9 (1983), 3-26.

20. Anticommuting self-adjoint operators, Rev. Roumaine Math. Pures Appl. 28 (1983), 77-91.

21. Nonlinear objects in the linear analysis, Operator Theory : Advances and Applications vol.14, Birkhauser Verlag, Basel,1984, pp.265-278.

22. Analytic operators and spectral decompositions, Indiana Univ. Math. J. 34 (1985), 705-722.

23. Stability of the index of a semi-Fredholm complex of Banach spaces (with E.Albrecht), J. Funct. Anal. 66 (1986), 141-172.

24. Spectral theory in quotient Fréchet spaces, I, Rev. Roumaine Math. Pures Appl. 32 (1987), 561-579.

25. Matrix operators and hyperinvariant subspaces (with F. Radulescu), J. London Math. Soc. 36 (1987), 327-338.

26. Homogeneous operators and essential complexes, Glasgow Math. J., 31 (1989), 73-85.

27. Spectral theory in quotient Fréchet spaces, II, J. Operator Theory 21 (1989), 145-202.

28. Joint spectral properties for permutable linear transformations (with E. J. Ionascu), J. reine angew. Math. 426 (1992), 23-45.

29. An operator-valued Poisson kernel, J. Funct. Anal. 110 (1992), 47-72.

30. Standard models for some commuting multioperators (with V. Müller), Proc. Amer. Math. Soc. 117 (1993), 979-989.

31. Standard operator models in the polydisc (with R. E. Curto), Indiana Univ. Math. J. 42 (1993), 791-810.

32. Uniformly ergodic multioperators (with M. Mbekhta), Trans. Amer. Math. Soc. 347 (1995), 1847-1854.

33. Standard operator models in the polydisc, II (with R. E. Curto), Indiana Univ. Math. J. 44 (1995), 727-746.

34. Positivity conditions and standard models for commuting multioperators, "Multivariable Operator Theory",

Contemporary Mathematics, Vol.185, A.M.S., 1995, pp. 347-365.

35. Moment problems for multi-sequences of operators, J. Math. Anal. Appl. 219 (1998), 246-259.

36. A uniform ergodic theorem for commuting semigroups (with M. Mbekhta), J. London Math. Soc. 58 (1998), 587-602.

37. Quaternionic Cayley transform, J. Funct. Anal. 164 (1999), 134-162

38. Solving moment problems by dimensional extension (with M. Putinar), Annals of Math. 149 (1999), 1087-1107

39. On jointly essentially self--adjoint tuples of operators (with J. Eschmeier), Acta Sci. Math. (Szeged), 67 (2001), 373-386.

40. Hamburger and Stieltjes moment problems in several variables, Trans. Amer. Math. Soc. 354 (2001), 1265-1278.

41. Invariant subspaces for some families of unbounded subnormal operators (with E. Albrecht), Glasgow Math. J. 45 (2003), 53-67.

42. Operator theoretic positivstellensätze (with C. Ambrozie), Zeischrift für Analysis und ihre Anwendungen, 22:2 (2003), 1-16.

43. Spaces of fractions and positive functionals, Math. Scand., 96 (2005),257-279.

44. Unbounded normal algebras and spaces of fractions, System Theory, the Schur Algorithm and Multidimensional Analysis Series,

Operator Theory: Advances and Applications , Vol. 176, 295-322, Birkhäuser Verlag, Basel, 2007.

45. Quotient morphisms, compositions, and Fredholm index (with Dana Gheorghe), Linear Algebra and its Applications, 431 (2009), 2049-2061.

46. Unbounded extensions and operator moment problems (with E. Albrecht), Journal of Functional Analysis, 260 (2011), 2497-2517.

47. Spectral theory for linear relations via linear operators (with D. Gheorghe), Pacific J. Math. 255 (2012), no. 2, 349-372.

48.On products of nonnegative linear operators and relations (with A. Sandovici).  Acta Math. Hungar. 134 (2012), no. 1-2, 139-152.

49. Dimensional stability in truncated moment problems. J. Math. Anal. Appl.  388 (2012), no. 1, 219-230.

50. Normal extensions of subnormal linear relations via quaternionic Cayley transforms (with A. Sandovici). Monatsh. Math. 170 (2013), no. 3-4, 437-463.

51. An idempotent approach to truncated moment problems. Integral Equations Operator Theory 79 (2014), no. 3, 301-335.

52. Moment Problems in Hereditary Function Spaces. Concr. Oper. 2019; 6:64-75

53. Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions. Concr. Oper. 2021; 8:90-113