Presents inequalities for continuous algebra-multiplications on Banach spaces plus basic observations on their space.
The moduli space of 4-dimensional nilpotent complex associative algebras
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abstract
In this paper, we study 4-dimensional nilpotent complex associative algebras. This is a continuation of the study of the moduli space of 4-dimensional algebras. The non-nilpotent algeras were analyzed in an earlier paper. Even though there are only 15 families of nilpotent 4-dimensional algebras, the complexity of their behaviour warrented a separate study, which we give here.
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Some Inequalities for Continuous Algebra-Multiplications on a Banach Space
Presents inequalities for continuous algebra-multiplications on Banach spaces plus basic observations on their space.