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Abstract: Using the theory of full and symmetric tensor norms on normed spaces, a theorem of Kursten and Heinrich on ultrastability and maximality of normed operator ideals is extended to ideals of n-homogeneous polynomials and n-linear mappings -- scalar-valued and vector-valued. The motivation for these results is the following important special case: the "uniterated" Aron-Berner extension q : E ## F ## of an n-homogeneous polynomial q : E F to the bidual remains in certain ideals under... (Update)
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BibTeX entry: (Update)
K. Floret, S. Huk2 ld, Ultrastability of ideals of homogeneous polynomials and multilinear mappings on Banach spaces, preprint 1998. http://citeseer.ist.psu.edu/floret98ultrastability.html More
@misc{ floret98ultrastability,
author = "K. Floret and S. Huk",
title = "Ultrastability of ideals of homogeneous polynomials and multilinear mappings
on Banach spaces",
text = "K. Floret, S. Huk2 ld, Ultrastability of ideals of homogeneous polynomials
and multilinear mappings on Banach spaces, preprint 1998.",
year = "1998",
url = "citeseer.ist.psu.edu/floret98ultrastability.html" }
Citations (may not include all citations):11 Ultraproducts in Banach space theory (context) - Heinrich - 1980
4 Natural norms on symmetric tensor products of normed spaces - Floret - 1997
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2 North Holland Math (context) - Defant, Floret et al. - 1993
2 A Hahn-Banach extension theorem for analytic mappings (context) - Aron, Berner - 1978
2 Duality in spaces of nuclear and integral polynomials (context) - Carando, Dimant - 1998
1 A Hahn-Banach theorem for integral polynomials (context) - Carando, Zalduendo - 1999
1 Duality and reflexivity in spaces of polynomials (context) - Jaramillo, de Moraes - 1998
1 Zahlen und Ultraprodukte von Operatoren in Banachraumen (context) - Kursten - 1976
1 A theorem on polynomial-star approximation (context) - Davie, Gamelin - 1989
1 Extendibility of homogeneous polynomials on Banach spaces (context) - Kirwan, Ryan - 1998
1 Complex geodesics on convex domains (context) - Dineen, Timoney - 1992
1 Applications of ultraproducts to infinite dimensional holomo.. (context) - Lindstrom, Ryan - 1992
1 An application of Singer's theorem to homogeneous polynomial.. (context) - Alencar - 1993
1 185--199 (context) - Pietsch, multilinear et al. - 1983
[Article contains additional citations not shown here]
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