Shmuel Kantorovitz

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Shmuel Kantorovitz (born September 17, 1935 ) is an Israeli mathematician who deals, among other things, with the spectral theory of operators in Banach spaces .

life and work

Kantorovitz studied mathematics from 1951 to 1955 at the Hebrew University of Jerusalem with a Master of Science degree and worked as a mathematician for the Israeli government until 1960. He then taught at the University of Minnesota in Minneapolis , where he received his doctorate in 1962 with the dissertation: An Operational Calculus and Spectral Operators. At Princeton University , Princeton , he taught and researched until 1964, after which he was assistant professor at Yale University in New Haven until 1967 and then until 1970 associate professor at the University of Illinois , Chicago. Here he became a professor and researched until 1978 with the National Science Foundation research grant, which was received in 1961. In 1972 he went as a professor at Bar-Ilan University in Ramat Gan , Israel , where he headed the Department of Mathematics and Computer Science from 1977 to 1979 and 1985 to 1987 and retired in 2003.

Guest stays

Books and monographs (selection)

  • Spectral Theory of Banach Space Operators, Lecture Notes in Math. No. 1012, Springer-Verlag, 1983, ISBN 978-3-540-12673-7
  • Semigroups of Operators and Spectral Theory, Pitman Research Notes in Math. Series, No. 330, Longman, 1995
  • Topics in Operator Semigroups, Progress in Mathematics No. 281, Birkhauser, Boston Basel Berlin 2010, ISBN 978-0-8176-4931-9
  • Introduction to Modern Analysis, Oxford Graduate Texts in Math. 8, Oxford University Press, Oxford, 2003, ISBN 978-0199203154
  • Real Variables, Springer, 2016, ISBN 978-3-319-27955-8

Publications (selection)

  • A note on partial linear integral equations, Bulletin Res. Coun. Israel 7F, 1958
  • A propriete de l'approximation spherique in unprobleme d'energy minimal. Bulletin Res. Coun. Israel 7F, 1958
  • The annihilator of a closed ideal in a function algebra, Bulletin Res. Coun. Israel 9F, 1960
  • Operational calculus in Banach algebras for algebra-valued functions, Trans. Amer. Math. Soc. 110, 1964
  • On the characterization of spectral operators, Trans. Amer. Math. Soc. 111, 1964
  • The semi-simplicity manifold of arbitrary operators, Trans. Amer. Math. Soc. 123, 1966
  • Local C ^ n-operational calculus, J. Math. And Mech. 17, 1967
  • The C ^ k-classification of certain operators in L ^ p, Trans. Amer. Math. Soc. 132, 1968
  • The C ^ k-classification of certain operators in L ^ p. II, Trans. Amer. Math. Soc. 146, 1969
  • On the operational calculus for groups of operators, Proc. Amer. Math. Soc. 26, 1970
  • Commutators, C ^ k classification, and similarity of operators, Trans. Amer. Math. Soc. 156, 1971
  • Formule exponential pour les element Volterra d'une algebre de Banach, CR Acad. Sc. Paris 274, 1972
  • Spectral equivalence and Volterra elements, Indiana Univ. Math. J. 22, 1973
  • Commutation de Heisenberg-Volterra et similarite de certaines perturbations, CR Acad. Sc. Paris 276, 1973
  • Characterization of C ^ n-operators, Indiana Univ. Math. J. 25, 1976
  • Similarity of certain operators in I ^ p, Proc. Amer. Math. Soc 67, 1977
  • Intertwining certain operators in l ^ p, J. London Math. Soc. (2) 16, 1977
  • Characterization of unbounded scalar-type operators with spectrum in a half-line, Comm. Math. Helv. 56, 1981
  • Spectrality criteria for unbounded operators with real spectrum, Math. Ann. 256, 1981
  • with Rhonda Hughes : Similarity of Certain Singular Perturbations in Banach Space, Proceedings of the London Mathematical Society 42, 1981
  • Volterra systems of operators, J. Math Anal. and Appl. 133, 1988
  • The Hille-Yosida space of an arbitrary operator, J. Math. Anal. and Appl. 136, 1988
  • Examples on similarity in L ^ p, J. Math. Anal. and Appl. 180, 1993
  • C ^ n-operational calculus, non-commutative Taylor formula, and perturbation of semigroups, J. Functional Anal. 113, 1993
  • Sur le calcul fonctionnel dans les algebres de Banach, CR Acad. Sc. Paris 317, 1993
  • On Liu's analyticity criterion for semigroups, Semigroup Forum 53, 1996
  • Analytic families of semigroups, Semigroup Forum 54, 1997
  • Renorming method in spectral theory, Dynamics of Cont., Discrete and Impulsive Systems 6, 1999
  • Asymptotics of analytic semigroups, Semigroup Forum 62, 2001
  • Asymptotics of analytic semigroups. II, Semigroup Forum 68, 2004
  • Asymptotics of resolvent iterates for abstract potentials, Semigroup Forum 68, 2004
  • Cauchy estimates for the operational calculus, Int. J. Pure Appl. Math. 21, 2005
  • Generators of regular semigroups, Glasgow Math. J. 50, 2008
  • Similarity of operators associated with the Volterra relation, Semigroup Forum 78, 2009
  • Compact commutators of the Cauchy transform, Acta Sci. Math. (Szeged), 76, 2010
  • Characterization of the Volterra operator and the Riemann-Liouville semigroup, Acta Sci. Math. (Szeged), 80, 2014
  • Characterization of the Gamma semigroup, Semigroup Forum 95, 2017

Web links

personal data
SURNAME Kantorovitz, Shmuel
BRIEF DESCRIPTION Israeli mathematician
DATE OF BIRTH September 17, 1935