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A simple proof of the real Riesz–Thorin interpolation theorem in the lower triangle
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science. Institute of Mathematics, Poznań University of Technology, Piotrowo 3A 60-965 Poznań, Poland.ORCID iD: 0000-0002-9584-4083
2023 (English)In: Colloquium Mathematicum, ISSN 0010-1354, E-ISSN 1730-6302, Vol. 172, no 1, p. 99-103Article in journal (Refereed) Published
Abstract [en]

A simple proof of the real Riesz–Thorin interpolation theorem for operators of strong types (p0, q0) and (∞, ∞) in the lower triangle, that is, if 0 < p0 ≤ q0 < ∞ with the best estimate of the norms is presented.
Place, publisher, year, edition, pages
Institut Matematyczny Polskiej Akademii Nauk , 2023. Vol. 172, no 1, p. 99-103
Keywords [en]
Banach spaces, Lp spaces, interpolation of operators, norms of linear operators
National Category
Mathematical Analysis
Research subject
Applied Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-94292DOI: 10.4064/cm8942-10-2022ISI: 000882791700001Scopus ID: 2-s2.0-85163978899OAI: oai:DiVA.org:ltu-94292DiVA, id: diva2:1714948
Note

Validerad;2023;Nivå 2;2023-04-19 (hanlid);

Funder: Poznań University of Technology (0213/S/GR/2154);

Full text license: CC BY

Available from: 2022-11-30 Created: 2022-11-30 Last updated: 2026-01-07Bibliographically approved

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Maligranda, Lech

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