Partial Inner Product Spaces: Some Categorical Aspects

We make explicit in terms of categories a number of statements from the theory of partial inner product spaces (PIP-spaces) and operators on them. In particular, we construct sheaves and cosheaves of operators on certain PIP-spaces of practical interest.

Bibliographic Details
Main Authors: Jean-Pierre Antoine, Dominique Lambert, Camillo Trapani
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2011/957592