Unitary equivalence and decompositions of finite systems of closed densely defined operators in Hilbert spaces
Piotr Niemiec
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An ideal of N-tuples of operators is a class invariant with respect to unitary equivalence which contains direct sums of arbitrary collections of its members as well as their (reduced) parts. New decomposition theorems (with respect to ideals) for N-tuples of closed densely defined linear operators acting in a common (arbitrary) Hilbert space are presented. Algebraic and order (with respect to containment) properties of the class of all unitary equivalence classes of such N-tuples...