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22nd Conference in Operator Theory
July 3-8, 2008
West University
Timisoara, Romania

Organizers
Institute of Mathematics of the Romanian Academy and West University in Timisoara

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On decomposition of identity operator into the linear combination of five orthoprojections
by
Anna Yusenko
Institute of Mathematics, NAS of Ukraine

Let H be infinite-dimensional Hilbert space. We describe the condition on weight (a1, ..., a5) ∈ R+5 under which it is possible to decompose the identity operator I into a linear combination
I=a1P1+...+a5P5
of five non-trivial irreducible ortoprojections Pi ∈ L(H). Also we describe sufficient conditions under which the set of such weights is open.

Date received: June 15, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxn-08.