English

Partial inner product spaces: Some categorical aspects

Mathematical Physics 2012-10-12 v1 math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1203.0428,
  title  = {Partial inner product spaces: Some categorical aspects},
  author = {J-P. Antoine and D. Lambert and C. Trapani},
  journal= {arXiv preprint arXiv:1203.0428},
  year   = {2012}
}

Comments

21 pages

R2 v1 2026-06-21T20:28:04.506Z