English

In the Amemiya-Ando problem 3 is enough

Functional Analysis 2012-08-07 v1

Abstract

In any infinite dimensional Hilbert space H\mathcal H there exist orthogonal projections Q1Q_1, Q2Q_2 and Q3Q_3, such that a sequence (Pn...P1(x))(P_n... P_1(x)) diverges in norm for some P1,P2,...{Q1,Q2,Q3}P_1,P_2,...\in\{Q_1,Q_2,Q_3\} and xHx\in\mathcal H.

Keywords

Cite

@article{arxiv.1208.0905,
  title  = {In the Amemiya-Ando problem 3 is enough},
  author = {Adam Paszkiewicz},
  journal= {arXiv preprint arXiv:1208.0905},
  year   = {2012}
}
R2 v1 2026-06-21T21:46:14.843Z