On representations of Banach $C^*$-modules associated with biweights

In: Mathematica Slovaca, vol. 61, no. 1

Maria Joiţa

Detaily:

Rok, strany: 2011, 63 - 78

Kľúčové slová:

Banach $C^{\ast}$-modules, biweights, modular representations, operator representations, GNS construction

DOI: https://doi.org/10.2478/s12175-010-0060-4

O článku:

We introduce an order relation in the set of modular biweights on a Banach $C^*$-module $X$ and give a description of this order relation in terms of representation associated with each modular biweight by GNS construction. We also characterize the extreme points in the set of all biweights $φ$ defined on $X$ such that $φ(x₀,x₀)=λ₀$. Furthermore, we discuss operator representations associated with modular biweights on Banach $C^*$-modules.

Ako citovať:

ISO 690:

Joiţa, M. 2011. On representations of Banach $C^*$-modules associated with biweights. In Mathematica Slovaca, vol. 61, no.1, pp. 63-78. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0060-4

APA:

Joiţa, M. (2011). On representations of Banach $C^*$-modules associated with biweights. Mathematica Slovaca, 61(1), 63-78. 0139-9918. DOI: https://doi.org/10.2478/s12175-010-0060-4

O vydaní:

On representations of Banach $C*$-modules associated with biweights

On representations of Banach $C^*$-modules associated with biweights