Functional Analysis and Its Applications

, Volume 36, Issue 3, pp 182–195

On Sums of Projections

  • Authors
  • S. A. Kruglyak
  • V. I. Rabanovich
  • Yu. S. Samoilenko
Article

DOI: 10.1023/A:1020193804109

Cite this article as:
Kruglyak, S.A., Rabanovich, V.I. & Samoilenko, Y.S. Functional Analysis and Its Applications (2002) 36: 182. doi:10.1023/A:1020193804109

Abstract

In the paper, for all n∈ℕ, we describe the set ∑n of all real numbers α admitting a collection of projections P1,...,Pn on a Hilbert space H such that ∑k=1nPkI (I is the identity operator on H) and study the problem to find all collections of this kind for a given α∈∑n.

algebra, representation, operator, matrix, projection, identity

Copyright information

© Plenum Publishing Corporation 2002