English

Partial Inner Products on Antiduals

Functional Analysis 2017-06-23 v1

Abstract

We discuss extensions of an inner product from a vector space to its full antidual. None of these extensions is weakly continuous, but partial extensions recapture some familiar structure including the Hilbert space completion and the antiduality pairing.

Keywords

Cite

@article{arxiv.1706.07123,
  title  = {Partial Inner Products on Antiduals},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1706.07123},
  year   = {2017}
}
R2 v1 2026-06-22T20:25:54.875Z