Local polynomials are polynomials
Fong, C. ; Lumer, G. ; Nordgren, E. ; Radjavi, H. ; Rosenthal, P.
Studia Mathematica, Tome 113 (1995), p. 105-107 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216201 
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     author = {C. Fong and G. Lumer and E. Nordgren and H. Radjavi and P. Rosenthal},
     title = {Local polynomials are polynomials},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {105-107},
     zbl = {0844.47009},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv115i2p105bwm}
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Fong, C.; Lumer, G.; Nordgren, E.; Radjavi, H.; Rosenthal, P. Local polynomials are polynomials. Studia Mathematica, Tome 113 (1995) pp. 105-107. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i2p105bwm/