Proceedings of the American Mathematical Society

Author(s): Pádraig Kirwan; Raymond A. Ryan
Journal: Proc. Amer. Math. Soc. 126 (1998), 1023-1029.
MSC (1991): Primary 46G20; Secondary 46B28
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Abstract: We study the $n$

-homogeneous polynomials on a Banach space $X$

that can be extended to any space containing $X$

. We show that there is an upper bound on the norm of the extension. We construct a predual for the space of all extendible $n$

-homogeneous polynomials on $X$

and we characterize the extendible 2-homogeneous polynomials on $X$

when

is a Hilbert space, an $\mathcal L_1$ -space or an $\mathcal L_\infty$ -space.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46G20, 46B28

Pádraig Kirwan
Affiliation: Department of Mathematics, University College, Galway, Ireland
Address at time of publication: Department of Physical and Quantitative Sciences, Waterford Institute of Technology, Waterford, Ireland
Email: pkirwan@staffmail.wit.ie

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