Hilbert module over a quantale or a Hilbert -module is an analogue of a Hilbert module in the setup of quantales and the inner product is valued in .
Hilbert -modules have been introduced by Paseka.
In the special case of locale , the Hilbert -modules are studied geometrically in
Pedro Resende, Elias Rodrigues, Sheaves as modules, Appl. Categ. Struct. 18:199–217 (2010) arxiv/0711.4401 doi
Pedro Resende, Groupoid sheaves as Hilbert modules, J. Pure Appl. Algebra 216 (2012) 41-70 arxiv/0807.4848
Created on March 19, 2014 at 07:50:58. See the history of this page for a list of all contributions to it.