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math.FA2020★ 2 cited
On the Fundamental Principles of Unbounded Functional Calculi
Markus Haase
In this paper, a new axiomatization for unbounded functional calculi is proposed and the associated theory is elaborated comprising, among others, uniqueness and compatibility resu…
math.FA2020
The Functional Calculus Approach to the Spectral Theorem
Markus Haase
A consistent functional calculus approach to the spectral theorem for strongly commuting normal operators on Hilbert spaces is presented. In contrast to the common approaches using…