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Course Information
Herbert P Halpern
Professor
609AB Old Chemistry Building
513-556-4063
herb.halpern@uc.edu
http://math.uc.edu/~halpern
Education
Ph.D, Harvard University, 1965.
Research Support
Research Grant, National Science Foundation . Funded 1977
Research Grant, National Science Foundation . Funded 1976
Research Grant, National Science Foundation . Funded 1975
Research Grant, National Science Foundation . Funded 1972 to 1974.
Research Grant, National Science Foundation . Funded 1971
Research Grant, National Science Foundation . Funded 1969 to 1970.
Research Grant, National Science Foundation. Funded 1967 to 1969.
Faculty Research Grant, Illinois Institute of Technology . Funded 1966 to 1967.
National Science Foundation Fellowship, Harvard University. Funded 1959 to 1962.
Peer Reviewed Publications
Kaftal, Victor, & Zsido, Laslo (1991). Finite weight projections in von Neumann algebras. Pac. J. Math., 147, 81-121.
Berman, Ken, Kaftal, Victor, & Weiss, Gary (1988). Matrix norm inequalities and the relative Dixmier inequality. I. Eq. and Oper. Th., 11, 28-48.
Kaftal, Victor (1987). Compact operators in type III? and type III0 factors. Tohoku Math., 39, 153-173.
Kaftal, Victor, & Weiss, Gary (1987). Matrix pavings in B(H). Oper. Theory: Advances and Applications, 24, 201-214.
Kaftal, Victor (1986). Compact operators of type III? and type III0 factors. Math. Annalen, 273, 251-270.
Kaftal, Victor, & Weiss, Gary (1986). The relative Dixmier property in discrete crossed products. J. Funct. Anal., 69, 120-140.
Kaftal, Victor, & Weiss, Gary (1986). Matrix Pavings and Laurent Operators. J. Oper. Th., 16, 335-374.
(1982). Harmonic analysis for abelian inner automorphism group of von Neumann algebras. Math. Scand., 50, 79-99.
(1980). Spectral representation of locally compact abelian automorphism group of von Neumann algebras. J. Funct. Anal., 36, 313-342.
(1978). Spectra of operator equations in von Neumann algebras. Math. Scand., 42, 135-149.
(1978). Normal expectations and integral decomposition of type III von Neumann algebras. Pac. J. Math., 78, 291-331.
(1977). Essential central range and self-adjoint commutators in von Neumann algebras. Trans. Amer. Math. Soc., 228, 117-146.
(1975). Quasi-equivalence classes of normal representations of a separable C*-algebra. Trans. Amer. Math. Soc., 203, 129-140.
(1974). Open projections and Borel structures for C*-algebras. Pac. J. Math., 50, 81-98.
(1974). Mackey Borel structure for the quasi-dual of a separable C*-algebra. Can. J. Math., 26, 621-628.
(1973). Primitive ideals in von Neumann algebras. Proc. Amer. Math. Soc., 39, 563-566.
(1972). Unitary implementation of automorphism groups on von Neumann algebras. Comm. in Math.Phys., 25, 253-275.
(1972). Integral decomposition of functionals on C*-algebras. Trans. Amer. Math. Soc., 168, 351-385.
Digernes, Trond (1972). On open projections of a GCR algebra. Can. J. Math., 24, 978-982.
(1972). Essential central spectrum and numerical range for elements of a von Neumann algebra. Pac. J. Math., 42, 349-380.
(1971). A generalized dual for a C*-algebra. Trans. Amer. Math. Soc., 153, 139-156.
(1970). Embedding as a double commutator in a type I AW*-algebra. Trans. Amer. Math. Soc., 148, 85-98.
(1970). Commutators modulo the center in a property infinite von Neumann algebra. Trans. Amer. Math. Soc., 150, 55-68.
(1969). A spectral decomposition of self-adjoint elements in the maximum GCR ideal of a von Neumann algebra with applications to noncommutative integration theory. Trans. Amer. Math. Soc., 133, 281-306.
(1969). Commutators in property infinite von Neumann algebras. Trans. Amer. Math. Soc., 139, 55-73.
(1969). Module homomorphisms of a von Neumann algebra into its center. Trans, Amer, Math. Soc., 140, 183-194.
(1969). Irreductible module homomorphisms of a von Neumann algebra into its center. Trans. Amer. Math. Soc., 140, 195-222.
(1967). Finite sums of irreducible functionals on C*-algebras. Proc. of the Amer. Math. Soc., 18, 352-358.
(1966). The maximal GCR ideal in an AW*-algebra. Proc. Amer. Math. Soc., 17, 909-914.
(1966). An integral representation of a normal functional on a von Neumann algebra. Trans. Amer. Math. Soc., 125, 32-46.
Other Publications
Kaftal, Victor, & Zsido, Laslo (1990). Finite weight projections and von Neumann factors. Proceedings of Symposia in Pure Mathematics, 51. Providence, RI: Amer. Math. Soc.
Berman, Ken, Kaftal, Victor, & Weiss, Gary (1990). Some C4 and C6 norm inequalities related to the paving problem. Proceedings of Symposia in Pure Mathematics, 51. Providence, RI: Amer. Math. Soc.
