Open AccessPartial Inner Product Spaces: Some Categorical Aspects
Author(s) -
Jean-Pierre Antoine,
D. L. Lambert,
Camillo Trapanı
Publication year - 2011
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2011/957592
Subject(s) - product (mathematics) , categorical variable , computer science , artificial intelligence , mathematics , algorithm , machine learning , geometry
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
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