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On invariant maximal non-negative subspaces of certain operators acting in a Krein space

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Abstract

The aim of this note is to show that a series of proofs for the existence of a maximal non-negative subspace which is invariant under an operator S in a Krein space, or for statements equivalent with this, follows a general pattern, using an approximating net S(i) for S such that for S(i) the existence of such a space is known.

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Gheondea, A. On invariant maximal non-negative subspaces of certain operators acting in a Krein space. Integr equ oper theory 12, 129–135 (1989). https://doi.org/10.1007/BF01199760

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  • DOI: https://doi.org/10.1007/BF01199760

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