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Extensions of positive symmetric operators and Krein's uniqueness criteria

By Zoltán Sebestyén and Zsigmond Tarcsay
We revise Krein's extension theory of positive symmetric operators. Our approach using factorization through an auxiliary Hilbert space has several advantages: it can be applied to non-densely defined transformations and it works in both real and complex spaces. As an application of the results and the construction we consider positive... Show more
September 1, 2022
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Extensions of positive symmetric operators and Krein's uniqueness criteria
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