This is a preview of subscription content, log in via an institution to check access.
References
Kurtz, L. C., and D. H. Tucker: Vector-valued summability methods on a linear normed space. Proc. Amer. Math. Soc.16, 419–428 (1965).
Leviatan, D.: A generalized moment problem for self-adjoint operators. Israel J. Math.4, 113–118 (1966).
—— On moment sequences of operators. Illinois J. Math.13, 249–255 (1968).
Schaefer, H. H.: A generalized moment problem. Math. Ann.146, 326–330 (1962).
—— Topological vector spaces. New York: Macmillan 1966.
Schoenberg, I. J.: On finite rowed systems of linear inequalities in infinitely many variables. Trans. Amer. Math. Soc.34, 594–619 (1932).
Swong, K.: A representation theory of continuous linear maps. Math. Ann.155, 270–291 (1964).
Tucker, D. H.: A representation theorem for a continuous linear transformation on a space of continuous functions. Proc. Amer. Math. Soc.16, 946–953 (1965).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Leviatan, D. On a representation theorem and application to moment sequences in locally convex spaces. Math. Ann. 182, 251–262 (1969). https://doi.org/10.1007/BF01350701
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01350701