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Construction of strong derivable maps via functional calculus of unbounded spectral operators in Banach spaces
Silvestri, Benedetto
2024
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e-ISSN
2464-8728
Abstract
We provide sufficient conditions for the existence of a strong derivable map and calculate its derivative by employing a result in our previous work on strong derivability of maps arising by functional calculus of an unbounded scalar type spectral operator R in a Banach space and the generalization to complete locally convex spaces of a classical result valid in the Banach space context. We apply this result to obtain a sequence of integrals converging to an integral of a complete locally convex space extension of a map arising by functional calculus of R.
Source
Benedetto Silvestri, "Construction of strong derivable maps via functional calculus of unbounded spectral operators in Banach spaces" in: "Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics vol.56 (2024)", EUT Edizioni Università di Trieste, Trieste, 2024, pp. 63-71
Languages
en
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
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