Rigged modules II: multipliers and duality
Studia Mathematica, Tome 236 (2017) no. 1, pp. 85-100
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
In a previous paper with Kashyap (2011) we generalized the theory of $W^*$-modules to the setting of modules over nonselfadjoint dual operator algebras on a Hilbert space, obtaining the class of weak$^*$ rigged modules. The present paper and its contemporaneous predecessor comprise the sequel which we promised at that time would be forthcoming. We give many new results about rigged and weak$^*$ rigged modules and their tensor products, such as an Eilenberg–Watts type theorem.
Keywords:
previous paper kashyap generalized theory * modules setting modules nonselfadjoint dual operator algebras hilbert space obtaining class weak * rigged modules present paper its contemporaneous predecessor comprise sequel which promised time would forthcoming many results about rigged weak * rigged modules their tensor products eilenberg watts type theorem
Affiliations des auteurs :
David P. Blecher 1
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author = {David P. Blecher},
title = {Rigged modules {II:} multipliers and duality},
journal = {Studia Mathematica},
pages = {85--100},
year = {2017},
volume = {236},
number = {1},
doi = {10.4064/sm8671-9-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm8671-9-2016/}
}
David P. Blecher. Rigged modules II: multipliers and duality. Studia Mathematica, Tome 236 (2017) no. 1, pp. 85-100. doi: 10.4064/sm8671-9-2016
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