English

Indefinite Halmos, Egervary and Sz.-Nagy Dilations

Rings and Algebras 2022-10-12 v1 Commutative Algebra Operator Algebras

Abstract

Let M\mathcal{M} be an indefinite inner product module over a *-ring of characteristic 2. We show that every self-adjoint operator on M\mathcal{M} admits Halmos, Egervary and Sz.-Nagy dilations.

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Cite

@article{arxiv.2210.05646,
  title  = {Indefinite Halmos, Egervary and Sz.-Nagy Dilations},
  author = {K. Mahesh Krishna},
  journal= {arXiv preprint arXiv:2210.05646},
  year   = {2022}
}

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6 Pages, 0 Figures