Daniel Beltiţă

Photo

Affiliation

Institute of Mathematics "Simion Stoilow" of the Romanian Academy

P.O. Box 1-764

Bucharest, Romania

Workgroup

Operator Algebras

Research Interests

Harmonic analysis of pseudo-differential operators and PDEs

Structure and representation theory for infinite-dimensional Lie groups and algebras

Functional analysis and the theory of operator algebras

Teaching

• Order structures on enveloping algebras (SCOSAAR)
Wednesday 12:00-14:00, Room 414 (IMAR)

• Unitary representations of Lie groups (SNSB)
Thursday 16:30-20:00, Room 412 (IMAR)

PhD student

• Mihai Nicolae

Books

• D. Beltita, Smooth Homogeneous Structures in Operator Theory, Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics, vol. 137, Chapman & Hall/CRC Press, Boca Raton-London-New York-Singapore, 2006. (Here is a preview.)
• D. Beltita, M. Sabac, Lie Algebras of Bounded Operators, Operator Theory: Advances and Applications, vol. 120, Birkhäuser, Basel-Boston-Berlin, 2001. (Here is a preview.)

Romanian translations

• R. Tyrrell Rockafellar, Analiză Convexă, Texte Matematice Esenţiale, vol. 4, Theta, Bucureşti, 2002. (Translation by Ingrid Beltita and Daniel Beltita.) (Here is a preview of the original book published by Princeton University Press.)
• R.A. Horn, Ch.R. Johnson, Analiza Matricială, Texte Matematice Esenţiale, vol. 2, Theta, Bucureşti, 2001. (Translation by Ingrid Beltita, Daniel Beltita, and Radu-Nicolae Gologan.) (Here is a preview of the original book published by Cambridge University Press.)

Papers

-- 2012 --

• I. Beltita, D. Beltita, Boundedness for Weyl-Pedersen calculus on flat coadjoint orbits. Preprint arXiv:1203.0974v1 [math.AP].

-- 2011 --

• I. Beltita, D. Beltita, Faithful representations of infinite-dimensional nilpotent Lie algebras. Preprint arXiv:1108.5563v1 [math.RT].
• D. Beltita, K.-H. Neeb, Schur-Weyl Theory for $C^*$-algebras. Mathematische Nachrichten (to appear). (Here is the online published final version.)
• I. Beltita, D. Beltita, Algebras of symbols associated with the Weyl calculus for Lie group representations. Monatshefte für Mathematik (to appear). (Here is the online published final version.)
• I. Beltita, D. Beltita, On differentiability of vectors in Lie group representations. Journal of Lie Theory 21 (2011), no. 4, 771-785. (Here is the online published final version.)
• I. Beltita, D. Beltita, Modulation spaces of symbols for representations of nilpotent Lie groups. Journal of Fourier Analysis and Applications 17 (2011), no. 2, 290-319. (Here is the online published final version.)
• I. Beltita, D. Beltita, Continuity of magnetic Weyl calculus. Journal of Functional Analysis 260 (2011), no. 7, 1944-1968. (Here is the online published final version.)
• D. Beltita, J.E. Galé, Universal objects in categories of reproducing kernels. Revista Matemática Iberoamericana 27 (2011), no. 1, 123-179. (Here is the online published final version.)
• D. Beltita, Functional analytic background for a theory of infinite-dimensional reductive Lie groups. In: K.-H. Neeb, A. Pianzola (eds.), Developments and Trends in Infinite-Dimensional Lie Theory, Progress in Mathematics 288, Birkhäuser Verlag, Basel, 2011, pp. 367-392. (Here is the online published final version.)

-- 2010 --

• I. Beltita, D. Beltita, On Weyl calculus in infinitely many variables. In: P. Kielanowski, V. Buchstaber, A. Odzijewicz, M. Schlichenmaier, Th. Voronov (eds.), XXIX Workshop on Geometrical Methods in Physics, AIP Conf. Proc., Amer. Inst. Phys., 1307, Melville, NY, 2010, pp. 19-26. (Here is the online published final version.)
• I. Beltita, D. Beltita, Smooth vectors and Weyl-Pedersen calculus for representations of nilpotent Lie groups. Annals of the University of Bucharest (mathematical series) 1 (LIX) (2010), no. 1, 17-46. (Here is the online published final version.)
• D. Beltita, Lie theoretic significance of the measure topologies associated with a finite trace. Forum Mathematicum 22 (2010), no. 2, 241-253. (Here is the online published final version.)
• D. Beltita, K.-H. Neeb, Geometric characterization of hermitian algebras with continuous inversion. Bulletin of the Australian Mathematical Society 81 (2010), no. 1, 96-113. (Here is the online published final version.)
• I. Beltita, D. Beltita, Uncertainty principles for magnetic structures on certain coadjoint orbits. Journal of Geometry and Physics 60 (2010), no. 1, 81-95. (Here is the online published final version.)

-- 2009 --

• I. Beltita, D. Beltita, A survey on Weyl calculus for representations of nilpotent Lie groups. In: P. Kielanowski, S.T. Ali, A. Odzijewicz, M. Schlichenmaier, Th. Voronov (eds.), XXVIII Workshop on Geometrical Methods in Physics, AIP Conf. Proc., Amer. Inst. Phys., 1191, Melville, NY, 2009, pp. 7-20. (Here is the online published final version.)
• D. Beltita, J.E. Galé, On complex infinite-dimensional Grassmann manifolds. Complex Analysis and Operator Theory 3 (2009), no. 4, 739-758. (Here is the online published final version.)
• D. Beltita, Iwasawa decompositions of some infinite-dimensional Lie groups. Transactions of the American Mathematical Society 361 (2009), no. 12, 6613-6644. (Here is the online published final version.)
• I. Beltita, D. Beltita, Magnetic pseudo-differential Weyl calculus on nilpotent Lie groups. Annals of Global Analysis and Geometry 36 (2009), no. 3, 293-322. (Here is the online published final version.)

-- 2008 --

• D. Beltita, J.E. Galé, Holomorphic geometric models for representations of $C^*$-algebras. Journal of Functional Analysis 255 (2008), no. 10, 2888-2932. (Here is the online published final version.)
• D. Beltita, K.-H. Neeb, A nonsmooth continuous unitary representation of a Banach-Lie group. Journal of Lie Theory 18 (2008), no. 4, 933-936. (Here is the online published final version.)
• D. Beltita, K.-H. Neeb, Finite-dimensional Lie subalgebras of algebras with continuous inversion. Studia Mathematica 185 (2008), no. 3, 249-262. (Here is the online published final version.)

-- 2007 --

• D. Beltita, T.S. Ratiu, A.B. Tumpach, The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits. Journal of Functional Analysis 247 (2007), no. 1, 138-168. (Here is the online published final version.)
• D. Beltita, B. Prunaru, Amenability, completely bounded projections, dynamical systems and smooth orbits. Integral Equations and Operator Theory 57 (2007), no. 1, 1-17. (Here is the online published final version).
• D. Beltita, T.S. Ratiu, Geometric representation theory for unitary groups of operator algebras. Advances in Mathematics 208 (2007), no. 1, 299-317. (Here is the online published final version.)

-- 2005 --

• D. Beltita, Integrability of analytic almost complex structures on Banach manifolds. Annals of Global Analysis and Geometry 28 (2005), no. 1, 59-73. (Here is the online published final version.)
• D. Beltita, T.S. Ratiu, Symplectic leaves in real Banach Lie-Poisson spaces. Geometric and Functional Analysis 15 (2005), no. 4, 753-779. (Here is the online published final version.)
• D. Beltita, On Banach-Lie algebras, spectral decompositions and complex polarizations. In: D. Gaspar, I. Gohberg, D. Timotin, F.-H. Vasilescu, L. Zsido (eds.), Recent Advances in Operator Theory, Operator Algebras, and their Applications. XIXth International Conference on Operator Theory, Timisoara (Romania), 2002, Oper. Theory Adv. Appl., 153, Birkhäuser Verlag, Basel, 2005, pp. 13-38.

-- 2004 --

• D. Beltita, M. Sabac, Polynomial sequences of bounded operators. Journal of Functional Analysis 209 (2004), no. 1, 101-136. (Here is the online published final version.)
• D. Beltita, Asymptotic products and enlargibility of Banach-Lie algebras. Journal of Lie Theory 14 (2004), no. 1, 215-226.

-- 2003 --

• D. Beltita, Complex homogeneous spaces of pseudo-restricted groups. Mathematical Research Letters 10 (2003), no. 4, 459-467.

-- 2002 --

• D. Beltita, Spectra for solvable Lie algebras of bundle endomorphisms. Mathematische Annalen 324 (2002), no. 2, 405-429.
• D. Beltita, Spectral theory within the framework of locally solvable Lie algebras. In: A. Strasburger, J. Hilgert, K.-H. Neeb, W. Wojtynski (eds.), Analysis and Geometry on Finite- and Infinite-Dimensional Lie Groups, Banach Center Publications, vol. 55., Warszawa, 2002, pp. 13-25.

-- 2001 --

• D. Beltita, Analytic joint spectral radius in a solvable Lie algebra of operators. Studia Mathematica 144 (2001), no. 2, 153-167.
• D. Beltita, Spectral conditions for the nilpotency of Lie algebras. Journal of Operator Theory 46 (2001), no. 3, suppl., 593-603. (Here is the online published final version.)

-- 1999 --

• D. Beltita, Spectrum for a solvable Lie algebra of operators. Studia Mathematica 135 (1999), no. 2, 163-178.

-- 1998 --

• D. Beltita, M. Sabac, An asymptotic formula for the commutators. Journal of Functional Analysis 153 (1998), no. 2, 262-275. (Here is the online published final version).
• D. Beltita, On certain Lie algebras of normal operators. Revue roumaine des mathematiques pures et appliquees 43 (1998), no. 7-8, 653-658.

-- 1996 --

• D. Beltita, Joint invariant subspaces for some commuting tuples of bounded linear operators. Revue roumaine des mathematiques pures et appliquees 41 (1996), no. 9-10, 583-589.