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arXiv · 2610.16031

Bi-atomic systems in Hilbert Spaces

Osmin Ferrer Villar·Jose Naranjo Martinez·Breiner Rivero Reyes
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Abstract

This paper, we introduce and study biatomic systems in Hilbert spaces, a natural generalization of classical atomic systems; this new concept allows us to represent bounded linear operators using two Bessel sequences simultaneously. In addition, we establish equivalent characterizations of these systems, study their relationship with Bessel biframes and demonstrate the stability of the class under natural operations: duality with respect to the adjunct, orthogonal projections, unit operators and concatenation.

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Osmin Ferrer Villar, Jose Naranjo Martinez, Breiner Rivero Reyes. 2026-10-12. Bi-atomic systems in Hilbert Spaces. https://arxiv.org/abs/2610.16031

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