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Polynomials on Banach spaces with unconditional bases |
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| Authors: | Bogdan C Grecu Raymond A Ryan |
| Institution: | Department of Mathematics, National University of Ireland, Galway, Ireland ; Department of Mathematics, National University of Ireland, Galway, Ireland |
| Abstract: | We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions relative to this basis. We extend some results of Matos, and we show that the homogeneous polynomials with unconditionally convergent expansions coincide with the polynomials that are regular with respect to the Banach lattices structure of the domain. |
| Keywords: | Unconditional Schauder basis homogeneous polynomial tensor product |
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