Atomic systems in Krein spaces

Authors: OSMIN FERRER VILLAR, EDILBERTO ARROYO ORTIZ, JOSÉ NARANJO MARTÍNEZ

Abstract: In the present article, we establish a definition of atomic systems in the Krein spaces, specifically, we establish the fundamental tools of the theory of atomic systems in the formalism of the Krein spaces and give a complete characterization of them. We also show that the atomic systems do not depend on the decomposition of the Krein space.

Keywords: Krein space, Fundamental decomposition, atomics system, projectors

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