Liste der Publikationen

Prof.Dr.W.Timmermann TU Dresden Institut für Analysis Liste der Publikationen [1] G. Lassner and W.Timmermann. Über Einschränkungen und Erweiterungen abgeschlossener Operatoren im Hilbertraum. Preprint, Leipzig, 1971. [2] G. Lassner and W.Timmermann. Extensions and restrictions of algebras of unbounded operators. Preprint, Leipzig, 1972. [3] G. Lassner and W.Timmermann. Normal states on algebras of unbounded operators. Rep.Math.Phys., 3/4:295 305, 1972. [4] G. Lassner and W.Timmermann. On the esssential selfadjointness of different algebras of field operators (in russian). Teor.Mat.Fiz., 15(3):311 314, 1973. [5] G. Lassner and W.Timmermann. Classification of domains of closed operators. Rep.Math.Phys., 9:157 170, 1976. [6] G. Lassner and W.Timmermann. Classification of domains of operator algebras. Rep.Math.Phys., 9:205 217, 1976. [7] B. Timmermann and W.Timmermann. On ultrastrong and ultraweak topologies on algebras of unbounded operators. JINR COMM. E2-10242. Dubna, 1976. [8] W. Timmermann. Remarks on the operator of second quantization. Rep.Math.Phys., 11:395 404, 1977. [9] W. Timmermann. Classification of domains. In Proceedings of the Intern.Conference: Operator algebras, ideals and their applications in theoretical physics, Leipzig 1977. Teubner Verlag Leipzig, 1978. [10] B. Timmermann and W. Timmermann. Über einige Topologien auf der Algebra der CCR. Wiss.Zeitschr. der KMU Leipzig, Math. Naturwiss. Reihe, 27:287 292, 1978. 1

[11] W. Timmermann. Ideals in algebras of unbounded operators. I. Math. Nachrichten, 92:99 110, 1979. [12] W. Timmermann. Ideals in algebras of unbounded operators. II. Math. Nachrichten, 93:313 318, 1979. [13] W. Timmermann. On an ideal in algebras of unbounded operators. Math. Nachrichten, 91:347 355, 1979. [14] W. Timmermann. Simple properties of some ideals in algebras of unbounded operators. Math. Nachrichten, 90:189 196, 1979. [15] M. Schröder and W.Timmermann. Invariance of domains and automorphisms in algebras of unbounded operators. In Proceedings: Int.Conf. on Operator Algebras and Group Representations, Romania 1980, pages 134 139, 1980. [16] M. Schröder and W.Timmermann. Invariance of domains under oneparameter unitary groups. Preprint, KMU-MPh 6-80, Leipzig, 1980. [17] M. Schröder and W.Timmermann. Einige einfache Eigenschaften von Automorphismen in Algebren unbeschränkter Operatoren. Wiss. Zeitschrift der KMU Leipzig, Math.Naturwiss. Reihe, 31:69 73, 1982. [18] W. Timmermann. Mathematische Beschreibung von Gleichgewichtszuständen, KMS - Zustände. In Ergebnisse der Schule junger Wissenschaftler zur Mathematischen Physik, Pruchten, pages 60 65, 1982. [19] W. Timmermann. Order of operators in algebras of unbounded operators. Preprint UCL - IPT - 82-39, Louvain - la - Neuve, 1982. [20] W. Timmermann. Operatoren endlicher Ordnung in Algebren unbeschränkter Operatoren. Wiss. Zeitschr. der KMU Leipzig, Math.-Nat. Reihe, 33:86 92, 1984. [21] B. Timmermann and W.Timmermann. Introduction to some non-linear phenomena in simple dynamical systems. In Ergebnisse der Schule junger Wissenschaftler zur Mathematischen Physik, Bad Saarow, pages 126 142, 1984. [22] W. Timmermann. States on algebras of unbounded operators. JINR Preprint E5-85-91, Dubna, 1985. [23] B. Timmermann and W. Timmermann. Zum chaotischen Verhalten in dynamischen Systemen. Studie, 65 S., 1985. 2

[24] W. Timmermann. The classical Weyl - von Neumann theorem in algebras of unbounded operators. Rev.Roum.Math. Pures Appl., 31:723 727, 1986. [25] F. Löffler and W. Timmermann. The Calkin representation for a certain class of algebras of unbounded operators. Rev.Roum.Math. Pures Appl, 31:891 903, 1986. [26] F. Löffler and W. Timmermann. Singular states on maximal Op - algebras. Publ. RIMS, Kyoto, 22:671 687, 1986. [27] F. Löffler and W. Timmermann. On the structure of the state space of maximal Op - algebras. Publ. RIMS, Kyoto, 22:1063 1078, 1986. [28] B. Timmermann and W. Timmermann. Über die modifizierte Henon- Abbildung. In Ergebnisse der Schule junger Wissenschaftler zur Mathematischen Physik, Leipzig, 1986. [29] B. Timmermann and W. Timmermann. On the truncated Henon system. JINR COMM. E5-86 - 145, Dubna, 1986. [30] B. Timmermann and W. Timmermann. Zur numerischen Untersuchung von Attraktoren. Studie, 45 S., 1986. [31] W. Timmermann. On Cauchy-Schwarz inequalities for positive maps in algebras of unbounded operators. JINR. COMM. E5-87-294. Dubna, 1987. [32] B. Timmermann and W. Timmermann. Some properties of a generalized Henon system. JINR COMM. E5-87 - 458, 1987. [33] F.M. Izrailev, B. Timmermann, and W. Timmermann. Transient chaos in a generalized Henon map on the torus. Physics Letters A, 126:405 410, 1988. [34] F. Löffler and W. Timmermann. On the irreducibility of generalized Calkin representations. Rev.Roum.Math. Pures Appl., 33:413 421, 1988. [35] F. Löffler and W. Timmermann. On sequences of normal states on maximal Op - algebras (in Russian). Teor.Funk.,Funkzional.Anal. i Pril., Charkov, 50:131 136, 1988. [36] W. Timmermann. On commutators in algebras of unbounded operators. Zeitschr. Analysis und ihre Anw., 7:1 14, 1988. 3

[37] E. Scholz and W. Timmermann. Representation of commutators in algebras of unbounded operators. In Ergebnisse der Schule junger Wissenschaftler zur Mathematischen Physik, Leipzig, pages 1255 134, 1988. [38] E. Scholz and W. Timmermann. Additive and multiplicative commutators in algebras of unbounded operators. Math. Nachrichten, 145:77 86, 1990. [39] W. Timmermann. Positive Abbildungen in Algebren unbeschränkter Operatoren. Wiss. Zeitschr. TU Dresden, 39:199 201, 1990. [40] W. Timmermann. Topological algebras and quantum dynamical systems. In Vortragsauszüge zum Mathematikerkongress der DDR, volume II, pages 164 171, 1990. [41] W. Timmermann. Quantum dynamics and algebras of unbounded operators. In Nonlinear Dynamics and Quantum Dynamical Systems. Akademie Verlag, Berlin, 1990. [42] W. Timmermann. Simple properties of dissipations in algebras of unbounded operators. In Semesterbericht Funktionalanalysis, Sommersemester, Tübingen, 1990. [43] E. Scholz and W. Timmermann. Special additive and multiplicative commutator representations for diagonal operators. Math. Nachrichten, 150:83 96, 1991. [44] W. Timmermann. On positive maps in algebras of unbounded operators. Math. Nachrichten, 154:231 241, 1991. [45] W. Timmermann. Elementare Opereatoren auf L + (D). Wiss. Zeitschr. TU Dresden, 41:12 16, 1992. [46] E. Scholz and W. Timmermann. Local derivations, automorphisms and commutativity preserving maps in L + (D). Publ. RIMS, Kyoto, 29:977 995, 1993. [47] W. Timmermann. Extensions of positive definite maps and kernels. Preprint TU Dresden, Math - AN - 08-94, 1994. [48] W. Timmermann. Positivity in algebras of unbounded operators. Extended version of a talk given at the Conference C -algebras and their invariants, Cork, July 1995. 4

[49] E. Scholz and W. Timmermann. Generalized completely bounded maps on *-algebras. Preprint TU Dresden, Math - AN - 05-96, 1996. [50] E. Scholz and W. Timmermann. On a Grothendieck-type inequality in algebras of unbounded operators. Preprint TU Dresden, Math - AN - 03-97, 1997. [51] W. Timmermann. Positive definite maps and dissipations in algebras of unbounded operators. Preprint TU Dresden, Math - AN - 05-98, 1998. [52] W. Timmermann. Remarks on automorphism and derivation pairs in ternary rings of unbounded operators. Arch. Math., 74:379 384, 2000. [53] W. Timmermann. Two-local automorphisms and derivations in L + (D). Preprint TU Dresden, Math - AN - 07-2000, 2000. [54] W. Timmermann. Additive derivations and Jordan derivations on algebras of unbounded operators. Publ. Math. Debrecen, 58:717 733, 2001. [55] L. Molnár and W. Timmermann. Isometries of quantum states. J. Phys. A: Math. Gen., 36:267 273, 2003. [56] L. Molnár and W. Timmermann. Preserving the measure of compatibility between quantum states. J. Math. Phys., 44:969 973, 2003. [57] W. Timmermann. Approximate derivations and automorphisms in algebras of unbounded operators. Publ. Math. Debrecen, 63:667 676, 2003. [58] W. Timmermann. Additive mappings in algebras of unbounded operators preserving operators of rank one. Preprint TU Dresden, MATH- AN-01-2004 and arxiv, math.oa/0405545, 2004. [59] W. Timmermann. Bilocal derivations on standard algebras of unbounded operators. Preprint TU Dresden, MATH-AN-02-2004, 2004. [60] W. Timmermann. Elementary operators on algebras of unbounded operators. Acta Math. Hungar., 107(1-2):155 166, 2005. [61] W. Timmermann. Zero product preservers and orthogonality preservers on algebras of unbounded operators. Mathematica Pannonica, 16(2):165 172, 2005. 5

[62] L. Molnàr and W. Timmermann. Transformations on the sets of states and density matrices. Lin. Alg. Appl., 418:75 84, 2006. [63] L. Molnàr and W. Timmermann. Micture preserving maps on von Neumann algebras. Letters in Mathematical Physics, 79(3):295 302, 2007. [64] L. Molnàr and W. Timmermann. A metric on the space of projections admitting nice isometries. Studia Math., 191:271 281, 2009. [65] L. Molnàr and W. Timmermann. Maps on quantum states preserving the Jensen-Shannon divergence. J. Phys. A: Math. Gen., 42(1):015301, 2009. [66] L. Molnàr and W Timmermann. Transformations on bounded observables preserving measure of compatibility. Int. Journal of Theor.Phys., (accepted for publication), 2011. 6