Hilbert norms for graded algebras

被引：7
|
作者：
Kupsch, J [1 ]
Smolyanov, OG
机构：
[1] Univ Kaiserslautern, Fachbereich Phys, D-67663 Kaiserslautern, Germany
[2] Moscow MV Lomonosov State Univ, Fac Mech & Math, Moscow 119899, Russia
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 06期
关键词：
D O I：
10.1090/S0002-9939-99-05569-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a solution to a problem from superanalysis about the existence of Hilbert-Banach superalgebras. Two main results are derived: 1) There exist Hilbert norms on some graded algebras (infinite-dimensional superalgebras included) with respect to which the multiplication is continuous. 2) Such norms cannot be chosen to be submultiplicative and equal to one on the unit of the algebra.
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页码：1647 / 1653
页数：7
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