Local polynomials are polynomials

• Autorzy: C. K. Fong , G. Lumer , E. Nordgren , H. Radjavi , P. Rosenthal
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 47A56: Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 115
• Numer: 2
• Strony: 105-107

Daty

wydano

1995

otrzymano

1988-05-17

poprawiono

1994-10-24

poprawiono

1995-02-20

Twórcy

autor

C. K. Fong

• Mathematics Department, Carleton University, Ottawa, Ontario, Canada

autor

G. Lumer

• Institut de Mathématique, Université de Mons-Hainaut, Mons, Belgium

autor

E. Nordgren

• Mathematics Department, University of New Hampshire, Durham, New Hampshire, U.S.A.

autor

H. Radjavi

• Mathematics Department, Dalhousie University, Halifax, Nova Scotia, Canada

autor

P. Rosenthal

• Mathematics Department, University of Toronto, Toronto, Ontario, Canada