Geodesic
Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations
Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 550-563

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we propose a new technical tool for analyzing representations of Hilbert ${{C}^{*}}$ - product systems. Using this tool, we give a new proof that every doubly commuting representation over ${{\mathbb{N}}^{k}}$ has a regular isometric dilation, and we also prove sufficient conditions for the existence of a regular isometric dilation of representations over more general subsemigroups of $\mathbb{R}_{+}^{k}$ .
DOI : 10.4153/CMB-2010-060-8
Mots-clés : 47A20, 46L08 
Shalit, Orr Moshe. Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations. Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 550-563. doi: 10.4153/CMB-2010-060-8
@article{10_4153_CMB_2010_060_8,
     author = {Shalit, Orr Moshe},
     title = {Representing a {Product} {System} {Representation} as a {Contractive} {Semigroup} and {Applications} to {Regular} {Isometric} {Dilations}},
     journal = {Canadian mathematical bulletin},
     pages = {550--563},
     year = {2010},
     volume = {53},
     number = {3},
     doi = {10.4153/CMB-2010-060-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-060-8/}
}
TY  - JOUR
AU  - Shalit, Orr Moshe
TI  - Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 550
EP  - 563
VL  - 53
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-060-8/
DO  - 10.4153/CMB-2010-060-8
ID  - 10_4153_CMB_2010_060_8
ER  - 
%0 Journal Article
%A Shalit, Orr Moshe
%T Representing a Product System Representation as a Contractive Semigroup and Applications to Regular Isometric Dilations
%J Canadian mathematical bulletin
%D 2010
%P 550-563
%V 53
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-060-8/
%R 10.4153/CMB-2010-060-8
%F 10_4153_CMB_2010_060_8

Cité par Sources :