On a generalization of W*-modules

David P. Blecher, and Jon E. Kraus. "On a generalization of W*-modules." Banach Center Publications 91.1 (2010): 77-86. <http://eudml.org/doc/282474>.

@article{DavidP2010,
abstract = {a recent paper of the first author and Kashyap, a new class of Banach modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize Hilbert spaces. In the present paper, we describe these modules, giving some motivation, and we prove several new results about them.},
author = {David P. Blecher, Jon E. Kraus},
journal = {Banach Center Publications},
keywords = {Hilbert C*-module; dual operator algebra; operator space; operator module; dual Banach module; Morita equivalence},
language = {eng},
number = {1},
pages = {77-86},
title = {On a generalization of W*-modules},
url = {http://eudml.org/doc/282474},
volume = {91},
year = {2010},
}

TY - JOUR
AU - David P. Blecher
AU - Jon E. Kraus
TI - On a generalization of W*-modules
JO - Banach Center Publications
PY - 2010
VL - 91
IS - 1
SP - 77
EP - 86
AB - a recent paper of the first author and Kashyap, a new class of Banach modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize Hilbert spaces. In the present paper, we describe these modules, giving some motivation, and we prove several new results about them.
LA - eng
KW - Hilbert C*-module; dual operator algebra; operator space; operator module; dual Banach module; Morita equivalence
UR - http://eudml.org/doc/282474
ER -