Download PDF - Local polynomials are polynomialsAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

Local polynomials are polynomials

Authors 1, 2, 3, 4, 5

Affiliations

  1. Mathematics Department, Carleton University, Ottawa, Ontario, Canada
  2. Institut de Mathématique, Université de Mons-Hainaut, Mons, Belgium
  3. Mathematics Department, University of New Hampshire, Durham, New Hampshire, U.S.A.
  4. Mathematics Department, Dalhousie University, Halifax, Nova Scotia, Canada
  5. Mathematics Department, University of Toronto, Toronto, Ontario, Canada

Abstract

We prove that a function f is a polynomial if G◦f is a polynomial for every bounded linear functional G. We also show that an operator-valued function is a polynomial if it is locally a polynomial.
Studia Mathematica
1995/115/2
Export to PBN, Opens in new tab
Pages:
105-107
Main language of publication
English
Received
1988-05-17
Accepted
1994-10-24
Published
1995
Exact and natural sciences