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Course Information
Gary Weiss
Professor
822B Old Chemistry Building
513-556-4073
gary.weiss@uc.edu
http://math.uc.edu/~weiss
Research Support
Taft Faculty Release Fellowship, Funded 2007
Taft Summer Fellowship, Funded 2006
Taft Travel Grant, Funded 2006
Taft Summer Fellowship, Funded 2003
Faculty Development Grant, University of Cincinnati . Funded 2001
Taft Travel Grant, Funded 2001 to 2002.
Faculty Development Grant, University of Cincinnati . Funded 1997 to 1999.
Taft Travel Grant, Funded 1997
Taft Summer Fellowship, Funded 1997
Faculty Development Grant, University of Cincinnati . Funded 1996 to 1997.
Taft Summer Fellowship, Funded 1995
National Science Foundation Research Grant, Funded 1995 to 1998.
International Congress Travel Grant, National Science Foundation. Funded 1994
Equipment Grant, National Science Foundation. Funded 1993
Taft Summer Fellowship, Funded 1993
National Science Foundation Research Grant, Funded 1992 to 1993.
Taft Summer Fellowship, Funded 1991
Taft Summer Fellowship, Funded 1989
Taft Summer Fellowship, Funded 1987
National Science Foundation Research Grant, Funded 1985 to 1986.
Taft Summer Fellowship, Funded 1984
Taft Summer Fellowship, Funded 1982
University Faculty Summer Fellowship, Funded 1981
University Faculty Summer Fellowship, Funded 1979
Taft Summer Fellowship, Funded 1979
International Congress Travel Grant, National Academy of Sciences. Funded 1978
Taft Summer Fellowship, Funded 1977
National Science Foundation Research Grant, Funded 1976 to 1980.
Peer Reviewed Publications
Dykema, K., Figiel, T., & Wodzicki, M. (2004). Commutator structure of operator ideals. Adv. Math., 185(1), 1-79.
Kaftal, V. (2002). Traces, ideals and arithmetic means. Proc. Natl. Acad. Sci. USA (11), 7356--7360.
Bakonyi, M., Kaftal, V., & Woerdeman, H. (1997). Bounds for operator/Hilbert-Schmidt norm minimization using entropy. Indiana Univ. Math. J., 46(2), 405-425.
Bakonyi, M., Kaftal, V., & Woerdeman, H. (1995). Norm bounds for operator extensions. J. Math. Anal. Appl., 194(2), 352-367.
Bakonyi, M., Kaftal, V., & Woerdeman, H. (1993). Maximum entropy and joint norm bounds for operator extensions. Oper. Theory Adv. Appl., 64.
Kaftal, V., & Larson, D. (1992). Quasitriangular subalgebras of semifinite von Neumann algebras are closed. J. Funct. Anal., 107(2), 387-401.
(1989). Classification of certain commutator ideals and the tensor product closure property. Integral Equations Operator Theory, 12(1), 99-128.
Berman, K., Halpern, H., & Kaftal, K. (1988). Matrix norm inequalities and the relative Dixmier property. Integral Equations Operator Theory, 11(1), 28-48.
(1986). Commutators of Hilbert-Schmidt operators I. Integral Equations Operator Theory, 9(6), 877-892.
Halpern, H., & Kaftal, V. (1986). The relative Dixmier property in discrete crossed products. J. Funct. Anal., 69(1), 121-140.
Halpern, H., & Kaftal, V. (1986). Matrix pavings and Laurent operators. J. Operator Theory, 16(2), 355-374.
Kaftal, V. (1986). A Riemann type theorem for unconditional convergence of operators. Proc. Amer.Math. Soc., 98(3), 431-435.
Kaftal, Victor (1985). Compact derivations relative to semifinite von Neumann algebras. J. Funct. Anal., 62(2), 202-220.
Erdos, Paul (1983). Dot product rearrangements. Intl. J. Math., Math. Sci., 6(3), 409-418.
Moore, R. L. (1983). The metric Fuglede property and normality. Canad. J. Math., 35(3), 516-525.
(1983). An extension of the Fuglede commutativity theorem modulo the Hilbert-Schmidt class to operators of the form ?nXNn. Trans. Amer. Math. Soc., 278(1), 1-20.
(1981). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators II. J. Operator Theory, 5(1), 3-16.
(1981). The Fuglede commutativity theorem modulo operator ideals. Proc. Amer. Math. Soc., 83(1), 113-118.
(1980). Commutators of Hilbert-Schmidt operators II. Integral Equations Operator Theory, 3(4), 574-600.
Blass, A. (1978). A characterization and sum decomposition for operator ideals. Trans. Amer. Math. Soc., 246, 407-417.
(1978). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators I. Trans. Amer. Math. Soc., 246, 193-209.
(1976). Indecomposable Hilbert-Schmidt operators. Proc. Amer. Math. Soc., 56, 172-176.
Kaftal, V., & Larson, D. Quasitriangular subalgebras of semifinite von Neumann algebras are closed. J. Funct. Anal..
Book Chapters
Halpern, H., & Kaftal, V. (1987). Operators in indefinite metric spaces, scattering theory and other topics (Bucharest, 1985). Matrix pavings in B(H) (pp. 201-214). Basel: Birkhäuser.
(1978). Hilbert space operators (Proc. Conf., Calif. State Univ., Long Beach, Calif., 1977). The Fuglede commutativity theorem modulo the Hilbert-Schmidt class and generating functions for matrix operators (pp. 175-184). Berlin: Springer.
Other Publications
Zarikian, V. (2006). Sharp 3-paving bounds for small matrices. Plenary Notes: OT21, SUMIRFAS06, GPOTS07, COSY06, COSY07.
(2005). B(H)-commutators: a historical survey. Recent advances in operator theory, operator algebras, and their applications. Oper. Theory Adv. Appl., 153, 307-320. Birkhäuser, Basel.
Berman, K., Halpern, H., & Kaftal, V. (1990). Some C4 and C6 norm inequalities related to the paving problem. Operator theory: operator algebras and applications, Part 2 29-41.
(1980). An extension of the Fuglede-Putnam theorem modulo the Hilbert-Schmidt class to operators of the form ? MnXNn, Part I. Proceedings of the Fourth Conference on Operator Theory 105-131. Univ. Timi\csoara, Timi\csoara.
(1980). Commutators of Hilbert-Schmidt operators and solutions to two problems of Pearcy and Topping, Part II. Proceedings of the Fourth Conference on Operator Theory (Timi\c soara/Herculane, 1979) 132-140. Univ. Timi\c soara, Timi\c soara.
Zarikian, V. 3-paving small matrices and the Kadison-Singer Extension Problem. AIM Workshop Notes 2006.
Invited Presentations
(2007). Canadian Operator Symposium-COSY07, GPOTS University of Nebraska.
(2006). American Institute of Mathematics (AIM), Kadison-Singer Workshop.
(2006). OT21 Romanian International Conference on Operator Theory
(2006). SUMIRFAS, Texas A&M University.
(2006). COSY06, US Naval Academy .
(2005). Wabash 2005 Annual Meeting (IUPUI)
(2004). OT20 Romanian Operator Theory Conference
(2004). IWOTA-University of Newcastle, Organizing invitation-Korea .
(2003). Special Session on Operator Algebras and Free Probability, AMS Indiana University.
(2003). Special Session on Operator Algebras, Baltimore AMS Annual Meeting .
(2002). OT19 Romanian Conference on Operator Theory
(2002). Fields Institute Toronto Workshop/Nonselfadjoint Operator Algebras
(2002). Wright State University Colloquium
(2002). GPOTS-North Carolina State University
(2001). GPOTS-U, New Hampshire.
(2001). Canadian Operator Algebra Symposium joint with MSRI-Berkeley
(2000). GPOTS, Puerto Rico.
(2000). AMS Special Session , Toronto.
