Herbert Halpern

Herbert P Halpern

Professor Emeritus

Professional Summary

George Rieveschl Research Award, University of Cincinnati, 1973

Education

Ph.D: Harvard University 1965

Research Support

1977 National Science Foundation Research Grant Type:Grant

1976 National Science Foundation Research Grant Type:Grant

1975 National Science Foundation Research Grant Type:Grant

1972 -1974 National Science Foundation Research Grant Type:Grant

1971 National Science Foundation Research Grant Type:Grant

1969 -1970 National Science Foundation Research Grant Type:Grant

1967 -1969 National Science Foundation Research Grant Type:Grant

1966 -1967 Illinois Institute of Technology Faculty Research Grant Type:Grant

1959 -1962 Harvard University National Science Foundation Fellowship Type:Fellowship

Grant: #DMS-0649960 Investigators:Halpern, Herbert; Kaftal, Victor; Peligrad, Costel; Weiss, Gary; Zhang, Shuang 04-01-2007 -03-31-2009 National Science Foundation Collaborative Research: Operator Theory/Operator Algebras, GPOTS 07-08 Role:Collaborator $25,000.00 Closed Level:Federal

Abbreviated Publications

Other Publication

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.

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.

Keywords

Fuctional Analysis, Operator Algebras