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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.17525 |
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Table of Contents:
- We present a generalization of Krein-Šmul'jan theorem which involves several operators. Given bounded selfadjoint operators $A,B_1,\ldots,B_m$ acting on a Hilbert space $\mathcal{H}$, we provide sufficient conditions to determine whether there are $λ_1,\ldots,λ_m\in \mathbb{R}$ such that $A + \sum_{i=1}^m λ_i B_i$ is a positive semidefinite operator.