Abstract:
In the paper, for all n∈N, we describe the set Σn of all real numbers α admitting a collection of projections P1,…,Pn on a Hilbert space H such that ∑nk=1Pk=αI (I is the identity operator on H) and study the problem to find all collections of this kind for a given α∈Σn.
Citation:
S. A. Kruglyak, V. I. Rabanovich, Yu. S. Samoilenko, “On Sums of Projections”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 20–35; Funct. Anal. Appl., 36:3 (2006), 182–195
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