Local polynomials are polynomials

C. Fong; G. Lumer; E. Nordgren; H. Radjavi; P. Rosenthal

Studia Mathematica (1995)

  • Volume: 115, Issue: 2, page 105-107
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Fong, C., et al. "Local polynomials are polynomials." Studia Mathematica 115.2 (1995): 105-107. <http://eudml.org/doc/216201>.

@article{Fong1995,
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.},
author = {Fong, C., Lumer, G., Nordgren, E., Radjavi, H., Rosenthal, P.},
journal = {Studia Mathematica},
keywords = {local polynomials; operator-valued function},
language = {eng},
number = {2},
pages = {105-107},
title = {Local polynomials are polynomials},
url = {http://eudml.org/doc/216201},
volume = {115},
year = {1995},
}

TY - JOUR
AU - Fong, C.
AU - Lumer, G.
AU - Nordgren, E.
AU - Radjavi, H.
AU - Rosenthal, P.
TI - Local polynomials are polynomials
JO - Studia Mathematica
PY - 1995
VL - 115
IS - 2
SP - 105
EP - 107
AB - 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.
LA - eng
KW - local polynomials; operator-valued function
UR - http://eudml.org/doc/216201
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.