Informácia o dokumente



In: Tatra Mountains Mathematical Publications, vol. 34, no. 3
Torben Maack Bisgaard

The nonexistence in general of a positive left ideal of the desired codimension, either in the bounded case or in the commutative case

Detaily:

Rok, strany: 2006, 343 - 363

O článku:

A theorem of Thill asserts that if $A$ is a complex algebra, $M$ is a module over $A$, and $sf$ is a Hilbert form on $M$ with a finite rank of negativity $k$, then there is a submodule of $M$, of codimension $k$, which is a positive subspace for $sf$, provided that the following two conditions are satisfied: (i) $A$ is commutative; (ii) $sf$ is bounded (see the precise statement in the introduction). We show that neither (i) nor (ii) can be omitted.

Ako citovať:

ISO 690:
Bisgaard, T. 2006. The nonexistence in general of a positive left ideal of the desired codimension, either in the bounded case or in the commutative case. In Tatra Mountains Mathematical Publications, vol. 34, no.3, pp. 343-363. 1210-3195.

APA:
Bisgaard, T. (2006). The nonexistence in general of a positive left ideal of the desired codimension, either in the bounded case or in the commutative case. Tatra Mountains Mathematical Publications, 34(3), 343-363. 1210-3195.