Main research interests:

• Operator Algebras, general theory: Riemann integration on C*-algebras, singular traces on von Neumann algebras and C*-algebras.
• Noncommutative Geometry: Noncommutative integration theory, noncommutative Dirichlet Forms, invariance properties and dimensional interpretation of the Novikov-Shubin numbers for open manifolds, noncommutative geometric measure theory with applications to fractals.
• Information Geometry: noncommutative statistical manifolds, monotone metrics, Amari connections.

• [CGIs01] Cipriani F., Guido D., Isola T., ''A C*-algebra of geometric operators on self-similar CW-complexes. Novikov-Shubin and L$^2$-Betti numbers'', Journ. Funct. Analysis, 256 (2009), 603-634.
• [GHIs01] Gibilisco P., Hansen F., Isola T., ''On a correspondence between regular and non-regular operator monotone functions'', Linear Algebra and its Applications, 430 (2009), 2225-2232.
  
• [GImI07] Gibilisco P., Imparato D., Isola T., ''A characterization of the uniform distribution on the circle by Stam inequality'', Journal of Inequalities in Pure and Applied Mathematics, 10 (2009), Article 34, 7 pp.
  
• [GiIs13] Gibilisco P., Isola T., ''Fisher information and Stam inequality on a finite group'', Bull. London Math. Soc., 40 (2008), 855-862.
  
• [GImI05] Gibilisco P., Imparato D., Isola T., ''Stam inequality on Z_n'', Statistics and Probability Letters, 78 (2008), 1851-1856.
  
• [GImI08] Gibilisco P., Imparato D., Isola T., ''Schr\"odinger equation, L^p-duality and the geometry of Wigner-Yanase-Dyson information'', In ''Proceedings of the 28-th Conference on Quantum Probability and Related Topics'', CIMAT-Guanajuato, Mexico, 2-8 September 2007, ed. J.C. Garcia, R. Quezada, S.B. Sontz. QP-PQ: Quantum Probability and White Noise Analysis 23 (2008), p. 157-164.
  
• [GiIs11] Gibilisco P., Isola T., ''A dynamical uncertainty principle in von Neumann algebras by operator monotone functions'', Journal of Statistical Physics, 132 (2008), 937-944.
  
• [GiIs10] Gibilisco P., Isola T., ''An inequality related to uncertainty principle in von Neumann algebras'', International J. Math., 19 (2008), 1215-1222.
  
• [GiIs09] Gibilisco P., Isola T., ''Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras'', Infinite Dimensional Analysis, Quantum Probability and Related Topics, 11 (2008), 127-133.
  
• [GImI04] Gibilisco P., Imparato D., Isola T., ''A Robertson-type Uncertainty Principle and Quantum Fisher Information'', Linear Algebra and its Applications, 428 (2008), 1706-1724.
  
• [GImI03] Gibilisco P., Imparato D., Isola T., ''A volume inequality for quantum Fisher information and the uncertainty principle'', Journal of Statistical Physics, 130 (2008), 545-559.
  
• [GImI02] Gibilisco P., Imparato D., Isola T., ''Inequalities for quantum Fisher information'', Proceedings of the American Math. Soc., 137 (2009), 317-327.
  
• [GImI01] Gibilisco P., Imparato D., Isola T., ''Uncertainty principle and quantum Fisher information - II'', J. Math. Phys., 48 (2007), 072109 (25 pages).
  
• [GILa04] Guido D., Isola T., Lapidus M.L., ''Bartholdi zeta functions for periodic simple graphs'', In ''Analysis on Graphs and its Applications'', Proc. Sympos. Pure Math., 77 (2008), 109-122.
  
• [GILa01] Guido D., Isola T., Lapidus M.L., ''A trace on fractal graphs and the Ihara zeta function'', Trans. Amer. Math. Soc., 361 (2009), 3041-3070.
  
• [GILa03] Guido D., Isola T., Lapidus M.L., ''Ihara's zeta function for periodic graphs and its approximation in the amenable case'', Journ. Funct. Analysis, 255 (2008), 1339-1361.
  
• [GILa02] Guido D., Isola T., Lapidus M.L., ''Ihara zeta functions for periodic simple graphs'', In ''C*-algebras and Elliptic Theory II'', Burghelea, D.; Melrose, R.; Mishchenko, A.S.; Troitsky, E.V. (Eds.) Trends in Mathematics, 2008, Birkh\"{a}user, pp. 103-122.
  
• [GiIs08] Gibilisco P., Isola T., ''Some open problems in information geometry'', in ''Quantum probability and infinite dimensional analysis'', Proceedings of the 26th Conference, Levico, Italy, 20 - 26 February 2005, ed. L.~Accardi, W.~Freudenberg, M.~Sch\{"}urmann. QP-PQ: Quantum Probability and White Noise Analysis 20 (2007), World Scientific Publishing Co., p. 205-211.
  
• [GiIs07] Gibilisco P., Isola T., ''Uncertainty principle and quantum Fisher information'', Annals of the Institute of Statistical Mathematics, 59 (2007), 147-159.
  
• [GuIs14] Guido D., Isola T., ''The problem of completeness for Gromov-Hausdorff metrics on C*-algebras'', Journ. Funct. Analysis, 233 (2006), 173-205.
  
• [GuIs13] Guido D., Isola T., ''Tangential dimensions II. Measures'', Houston Journal of Mathematics, 32 (2006), 423 - 444
  
• [GuIs11] Guido D., Isola T., ''Tangential dimensions I. Metric spaces'', Houston Journal Math., 31 (2005), 1023-1045
  
• [GiIs06] Gibilisco P., Isola T., ''On the monotonicity of scalar curvature in classical and quantum information geometry'', Journal of Mathematical Physics, 46 (2005), 023501.
  
• [GuIs12] Guido D., Isola T., ''On the domain of singular traces'', International Journal of Mathematics, 13 (2002), 667-674.
  
• [GuIs10] Guido D., Isola T., ''Dimensions and spectral triples for fractals in R^N'', In ''Advances in Operator Algebras and Mathematical Physics'', Proceedings of the Conference held in Sinaia (Romania), 26 June - 4 July 2003, F.P. Boca, O. Bratteli, R. Longo, H. Siedentop eds., Theta Series in Advanced Mathematics 5 (2005), 89-108
  
• [GiIs04] Gibilisco P., Isola T., ''On the characterisation of paired monotone metrics'', Annals of the Institute of Statistical Mathematics, 56 (2004), 369-381.
  
• [GiIs05] Gibilisco P., Isola T., ''Wigner-Yanase information on quantum state space: the geometric approach'', Journal of Mathematical Physics, 44 (2003), 3752-3762.
  
• [GuIs09] Guido D., Isola T., ''Dimensions and singular traces for spectral triples, with applications to fractals'', Journ. Funct. Analysis, 203 (2003), 362-400.
  
• [GuIs08] Guido D., Isola T.,''Fractals in Noncommutative Geometry'', in the Proceedings of the Conference ''Mathematical Physics in Mathematics and Physics'', Siena 2000, Edited by: Roberto Longo, University of Rome II, Italy, Fields Institute Communications, Vol. 30, American Mathematical Society, Providence, RI, 2001
  
• [GiIs03] Gibilisco P., Isola T., ''A characterisation of Wigner-Yanase skew information among statistically monotone metrics'', Infinite Dimensional Analysis, Quantum Probability and Related Topics, 4 (2001), 553-557.
  
• [GuIs06] Guido D., Isola T., ''An asymptotic dimension for metric spaces, and the 0-th Novikov-Shubin invariant'', Pacific J. Math., 204, (2002), 43-59
  
• [GuIs04] Daniele Guido, Tomaso Isola, ''Noncommutative Riemann Integration and Novikov-Shubin Invariants for Open Manifolds'', Journ. Funct. Analysis, 176 (2000), 115-152.
  
• [GuIs07] Guido D., Isola T., ''A semicontinuous trace for almost local operators on an open manifold'', International Journal of Mathematics 12 (2001) ,1087-1102
  
• [GiIs02] Gibilisco P., Isola T., ''Monotone metrics on statistical manifolds of density matrices by geometry of noncommutative $L^{2}$-spaces'', In ''Disordered and complex systems'', King's College, Londra (Gran Bretagna), 10-14 Luglio 2000, P. Sollich, A. C. C. Coolen, L. P. Hughston, R. F. Streater eds., Amer. Inst. Phys. Conf. Proceedings, 253 (2001), 129-140.
  
• [GiIs01] Gibilisco P., Isola T., ''Connections on statistical manifolds of density operators by geometry of noncommutative L^p-spaces'', Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2 (1999), 169-178.
  
• [GuIs05] Guido D., Isola T., ''Singular traces, dimensions, and Novikov-Shubin invariants", in Operator Theoretical Methods, Proceedings of the 17th Conference on Operator Theory Timisoara (Romania) June 23-26, 1998, A. Gheondea, R.N. Gologan, D. Timotin Editors, The Theta Foundation, Bucharest 2000.
  
• [GuIs03] Guido D., Isola T., ''Singular traces and their applications to geometry'' in Proceedings of the Conference ''Operator Algebras and Quantum Field Theory'', S. Doplicher, R. Longo, J.E. Roberts and L. Zsido Eds, International Press, 1997.
  
• [GISc01] Guido D., Isola T., Scarlatti S., ''Non-symmetric Dirichlet forms on semifinite von Neumann algebras'', Journ. Funct. Analysis, 135 (1996) 50-75.
  
• [GuIs01] Guido D., Isola T., ''Singular traces on semifinite von Neumann algebras'' Journ. Funct. Analysis, 134 (1995), 451-485.
  
• [FiIs03] Fidaleo F., Isola T., ``The canonical endomorphism for infinite index inclusions'' Zeitschrift f\"{u}r Analysis und ihre Anwendungen, 18 (1999), 47-66.
  
• [FiIs02] Fidaleo F., Isola T., ''Minimal expectations for inclusions with atomic centres'' International Journal of Mathematics, 7 (1996), 307-327.
  
• [FiIs01] Fidaleo F., Isola T., ''On the conjugate endomorphism in the infinite index case'' Math. Scand., 77 (1995), 289-300.
  
• [Isol01] Isola T., ''Modular structure of the crossed product by a compact group dual'' Journal of Operator Theory, 33 (1995), 3-31.
  
• [IsTo04] Isola T., Tornambe A., ''Approximate stochastic realizations''. Proceedings of the 13th IMACS Congress. Trinity College, Dublin, Ireland, 22-26 July 1991.
  
• [IsTo03] Isola T., Tornambe A., ''Stochastic approximation and realization of Hankel matrices''. International Journal of Systems Science, 22 (1991), 1229-1240.
  
• [IsTo02] Isola T., Tornambe A., Approximate modeling of dynamic systems. In ''System modelling and optimization'' (Leipzig, 1989), 554-563, Lecture Notes in Control and Inform. Sci., 143, Spinger, Berlin, 1990.
  
• [IsTo01] Isola T., Tornambe A., ''Approximation and realization of Hankel matrices''. International Journal of Systems Science, 21 (1989), 1805-1818.
  
• [MNCI] Monaco S., Normand-Cyrot D., Isola T., ''Nonlinear decoupling in discrete time''. Proceedings of the IFAC Symposium, Capri, Italy, 14-16 June 1989.