Polynomials generated by linear operators

Galindo, P.; Lourenço, M.; Moraes, L.

doi:10.1090/S0002-9939-04-07442-8

Polynomials generated by linear operators
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by P. Galindo, M. L. Lourenço and L. A. Moraes PDF

Proc. Amer. Math. Soc. 132 (2004), 2917-2927 Request permission

Abstract:

We study the class of Banach algebra-valued $n$-homogeneous polynomials generated by the $n^{th}$ powers of linear operators. We compare it with the finite type polynomials. We introduce a topology $w_{EF}$ on $E,$ similar to the weak topology, to clarify the features of these polynomials.

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