Abstract
Multivariable Bernstein functions are used to discover some interesting connections between multivariable completely hyperexpansive weighed shifts and multivariable subnormal weighted shifts.
Similar content being viewed by others
References
[A1] A. Athavale, On completely hyperexpansive operators, Proc. Amer. Math. Soc. 124(1996), 3745–3752.
[A2] A. Athavale, Alternatingly hyperexpansive operator tuples, Positivity, to appear.
[A-R] A. Athavale and A. Ranjekar, Bernstein functions, complete hyperexpansivity and subnormality-I, Integral Equations and Operator Theory, to appear.
[A-S] A. Athavale and V. M. Sholapurkar, Completely hyperexpansive operator tuples, Positivity 3 (1999), 245–257.
[B] C. Berg, Quelques remarques sur le cone de Stieltjes, in Seminaire de Theorie du Potentiel Paris, No. 5, Lecture Notes in Mathematics 814, pp. 70–79, Berlin-Heidelberg-New York: Springer-Verlag, 1980.
[Bo] S. Bochner, Harmonic Analysis and the Theory of Probability, Berkeley and Los Angeles: University of California Press, 1955.
[B-C-R] C. Berg, J.P.R. Christensen, P. Ressel, Harmonic Analysis on Semigroups, Springer Verlag, Berlin, 1984.
[J-L] N. Jewell and A. Lubin, Commuting weighted shifts and analytic function theory in several variables, J. Operator Theory 1 (1979), 207–223.
[S-A] V. M. Sholapurkar and A. Athavale, Completely and alternatingly hyperexpansive operators, J. Operator Theory 43 (2000), 43–68.
[W] D. Widder, The Laplace Transform, Princeton University Press, London, 1946.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Athavale, A., Ranjekar, A. Bernstein functions, complete hyperexpansivity and subnormality-II. Integr equ oper theory 44, 1–9 (2002). https://doi.org/10.1007/BF01197857
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197857