Polynomials generated by linear operators

  • Galindo P
  • Lourenço M
  • Moraes L
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Abstract

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

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Galindo, P., Lourenço, M., & Moraes, L. (2004). Polynomials generated by linear operators. Proceedings of the American Mathematical Society, 132(10), 2917–2927. https://doi.org/10.1090/s0002-9939-04-07442-8

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