6533b854fe1ef96bd12aea47

RESEARCH PRODUCT

Partial inner product spaces: Some categorical aspects

Camillo TrapaniJean-pierre AntoineDominique Lambert

subject

Pure mathematicsArticle SubjectApplied MathematicsPhysicsQC1-999categoriesGeneral Physics and AstronomyFOS: Physical sciencesMathematical Physics (math-ph)QC20Inner product spaceSettore MAT/05 - Analisi MatematicaMathematics::Category Theory46Cxx 18BxxPip-spaceConstruct (philosophy)Categorical variableMathematical PhysicsMathematics

description

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.

yearjournalcountryeditionlanguage
2012-03-02
10.1155/2011/957592http://hdl.handle.net/10447/60521