Bebe Prunaru

Education

• 1998 Ph.D. in Mathematics, Indiana University, Bloomington, Indiana (USA), (thesis advisor Prof. Hari Bercovici)
• 1983 M.S. in Mathematics (Operator Theory), University of Bucharest.
• 1982 B.S. in Mathematics, University of Bucharest.

Research Interests

• Dual algebras of operators on Hilbert spaces
• Invariant subspaces
• Toeplitz operators
• Local spectral theory and functional calculus
• Dilation theory and functional models

Participation in Scientific Meetings

• International Conferences in Operator Theory, Bucharest 1986, Timisoara (1988, 2000, 2002, 2006) Predeal 1990.
• International Conferences in Operator Algebras, Craiova 1989, Constanta 2001, Sinaia 2003, Bucharest 2005.
• Wabash Miniconference in Modern Analysis, Indianapolis, 1994.
• AMS Annual Meeting, San Francisco, 1995.
• Great Plains Operator Theory Seminar, Cincinnati, 1995.
• AMS Meeting, Kent, Ohio, 1995.
• Invited Lecture at the 1st Young Analysts Meeting in the Southeast, Atlanta, 1995.
• Wabash Miniconference in Modern Analysis, Indianapolis, 1996.
• The Sixth Congress of Romanian Mathematicians, Bucharest 2007.

Publications

• Weak density and membership in the class $A_\aleph_0$, Revue Roumaine Math. Pures Appl. 31 (1986), 343-346.
• Sufficient conditions for membership in the classes $A$ and $A_\aleph_0$, J. Operator Theory, 17 (1987), 335-345.
• A note on the classes $(BCP)_\theta$, J. Operator Theory, 18 (1987), 153-161.
• On the structure of contraction operators with dominating spectrum, J. Operator Theory, 20 (1988), 41-58.
• Invariant subspaces for operators with Bishop's property $(\beta)$ and thick spectrum, (with Jorg Eschmeier) J. Functional Analysis, 94 (1990), 196-222.
• Von Neumann operators are reflexive, Integral Equations and Operator Theory, 14(1991), 609-612.
• On the class $A_{1,\aleph_0}$, Proc. Amer. Math. Soc., 112 (1991), 45-51.
• A structure theorem for singly generated dual uniform algebras, Indiana Univ. Math. Journal, 43 (1994), 729-736.
• On a theorem of S. Brown and V. Lomonosov. Integral Equations and Operator Theory, 24 (1996), no. 2, 248-249.
• On the commutant of hyponormal operators, Proc. Amer. Math. Soc., 124 (1996), 3411-3412.
• K-spectral sets and invariant subspaces, Integral Equations and Operator Theory, 26 (1996), 367-373.
• Invariant subspaces for polynomially hyponormal operators, Proc. Amer. Math. Soc. 125 (1997), 1689-1691.
• An improved factorization theorem with applications to subnormal operators, (with Hari Bercovici) Acta Sci. Math. (Szeged), 63 (1997), 647-655.
• Quasiaffine transforms of polynomially bounded operators, (with Hari Bercovici) Arch. Math. (Basel), 71 (1998), 384-387.
• The generic local spectrum of any operator is the full spectrum, (with Mihai Putinar) Bull. London Math. Soc., 31 (1999), 332-336.
• On the functional calculus for subnormal operators, Integral Equations and Operator Theory, 35 (1999), 122-124.
• Invariant subspaces for bounded operators with large localizable spectrum, Proc. Amer. Math. Soc., 129 (2001), 2365-2372.
• Strongly reductive algebras are selfadjoint J. Operator Theory, 48 (2002), no. 3, 615-619.
• Invariant subspaces and localizable spectrum, (with Jorg Eschmeier) Integral Equations and Operator Theory, 42(2002), no. 4, 461-471.
• Dual algebras and approximate reflexivity, Advances in Operator Algebras and Mathematical Physics, (Sinaia 2003), Theta 2005, pp. 187-195.
• Amenability, completely bounded projections, smooth orbits and dynamical systems, (with Daniel Beltita), Integral Equations and Operator Theory, 57 (2007) no. 1, 1-17.
• Some exact sequences for Toeplitz algebras of spherical isometries, Proc. Amer. Math. Soc. 135 (2007) no.11, 3621-3630.
• Toeplitz operators associated to commuting row contractions, J. Functional Analysis 254 (2008) 1626-1641.
• Approximate factorization in generalized Hardy spaces, Integral Equations and Operator Theory, 61 (2008) 121-145.
• Lifting fixed points of completely positive mappings, J. Mathematical Analysis and Applications, 350 (2009) 333-339.
• Toeplitz and Hankel operators associated with subdiagonal algebras, Proc. Amer. Math. Soc. 139 (2011) no. 4, 1387-1396.
• Fixed points for Luders operations and commutators, J. Physics A 44 (2011) no. 18, 185203.
• A factorization theorem for multiplier algebras of reproducing kernel Hilbert spaces, Canadian Math. Bull. (to appear).
• Lifting fixed points of completely positive semigroups, Integral Equations and Operator Theory, (to appear).
• Asymptotic stability for a class of Markov semigroups, submitted.