Work

Hilbert norms for graded algebras

Year: 1999

Type: article

Abstract: 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.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-99-05569-0

Authors: Joachim Kupsch, Oleg Smolyanov

Institutions: University of Kaiserslautern, Lomonosov Moscow State University

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Deutsche Forschungsgemeinschaft

OpenAlex ID: W1592033166