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On Sums of Projections |
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| Authors: | S A Kruglyak V I Rabanovich Yu S Samoilenko |
| Abstract: | In the paper, for all n  , we describe the set  n of all real numbers  admitting a collection of projections P
1,...,P
n on a Hilbert space H such that k=1
n
P
k= I (I is the identity operator on H) and study the problem to find all collections of this kind for a given
n
. |
| Keywords: | algebra representation operator matrix projection identity |
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