Open partial isometries and positivity in operator spaces

David P. Blecher, and Matthew Neal. "Open partial isometries and positivity in operator spaces." Studia Mathematica 182.3 (2007): 227-262. <http://eudml.org/doc/285312>.

@article{DavidP2007,
abstract = {We first study positivity in C*-modules using tripotents ( = partial isometries) which are what we call open. This is then used to study ordered operator spaces via an "ordered noncommutative Shilov boundary" which we introduce. This boundary satisfies the usual universal diagram/property of the noncommutative Shilov boundary, but with all the arrows completely positive. Because of their independent interest, we also systematically study open tripotents and their properties.},
author = {David P. Blecher, Matthew Neal},
journal = {Studia Mathematica},
keywords = {operator spaces; ordered spaces; -algebra; noncommutative topology; open and closed projections; noncommutative Shilov boundary; ternary ring of operators; -triple},
language = {eng},
number = {3},
pages = {227-262},
title = {Open partial isometries and positivity in operator spaces},
url = {http://eudml.org/doc/285312},
volume = {182},
year = {2007},
}

TY - JOUR
AU - David P. Blecher
AU - Matthew Neal
TI - Open partial isometries and positivity in operator spaces
JO - Studia Mathematica
PY - 2007
VL - 182
IS - 3
SP - 227
EP - 262
AB - We first study positivity in C*-modules using tripotents ( = partial isometries) which are what we call open. This is then used to study ordered operator spaces via an "ordered noncommutative Shilov boundary" which we introduce. This boundary satisfies the usual universal diagram/property of the noncommutative Shilov boundary, but with all the arrows completely positive. Because of their independent interest, we also systematically study open tripotents and their properties.
LA - eng
KW - operator spaces; ordered spaces; -algebra; noncommutative topology; open and closed projections; noncommutative Shilov boundary; ternary ring of operators; -triple
UR - http://eudml.org/doc/285312
ER -