Author:
Bellomonte Giorgia,Ivković Stefan,Trapani Camillo
Abstract
AbstractThe GNS construction for positive invariant sesquilinear forms on quasi *-algebra $$(\mathfrak A,{\mathfrak A}_{\scriptscriptstyle 0})$$
(
A
,
A
0
)
is generalized to a class of positive sesquilinear maps from $$\mathfrak A\times \mathfrak A$$
A
×
A
into a $$C^*$$
C
∗
-algebra $${\mathfrak {C}}$$
C
. The result is a *-representation taking values in a space of operators acting on a certain quasi-normed $${\mathfrak {C}}$$
C
-module.
Funder
Ministry of Science, Technological Development and Innovations, Republic of Serbia
Università degli Studi di Palermo
Publisher
Springer Science and Business Media LLC
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