4 citations · 8 across the 8 of their papers we have counts for
8 papers · 1 filter
On the Shilov boundary ideal for Fréchet local operator systems
Maria Joiţa, Gheorghe-Ionuţ Şimon
We show that the Shilov boundary ideal for a separable Fréchet local operator system is given by the intersection of the kernels of all its -boundary representations.
The R-Shilov boundary for a local operator space
Maria Joiţa, Gheorghe-Ionuţ Şimon
To extend the notion of the injective envelope of a unital operator space to the locally convex case, Dosi (2014) first introduced the notion of the injective R-envelope for a unit…
Local boundary representations for local operator systems
Maria Joiţa
In this paper, we show that the local boundary representations of a local operator system in a Frechet locally C*-algebra on quantized Frechet domains introduced by Arunkumar [Loca…
Unbounded local completely contractive maps
Maria Joiţa
We prove a local convex version of Arveson's extension theorem and of Wittstock's extension theorem. Also we prove a Stinespring type theorem for unbounded local completely contrac…
Factorization properties for unbounded local positive maps
Maria Joiţa
In this paper we present some factorization properties for unbounded local positive maps. We show that an unbounded local positive map on the minimal tensor product of the loca…
Crossed products by Hilbert pro-C*-bimodules versus tensor products
Maria Joiţa
We show that if and are two isomorphic Hilbert pro--bimodules, then the crossed product of by and the crossed product $B\…
Group actions on pro--algebras and their pro--crossed products
Maria Joiţa
In this paper, we define the notions of full pro--crossed product, respectively reduced pro--crossed product, of a pro--algebra by a strong bounded a…
Comparison of Completely Positive Maps on Hilbert C*-Modules
Maria Joiţa
We introduce a preorder relation in the collection of all operator valued completely positive maps on a full Hilbert C*-module and characterize this relation in terms of the Stines…