# On a generalization of W*-modules

David P. Blecher; Jon E. Kraus

Banach Center Publications (2010)

- Volume: 91, Issue: 1, page 77-86
- ISSN: 0137-6934

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topDavid 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 -

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