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Article

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Title

A simple proof of the real Riesz-Thorin interpolation theorem

Authors

[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee

Scientific discipline (Law 2.0)

[7.4] Mathematics

Year of publication

2023

Published in

Colloquium Mathematicum

Journal year: 2023 | Journal volume: vol. 172 | Journal number: no. 1

Article type

scientific article

Publication language

english

Keywords
EN
  • Banach spaces
  • Lp spaces
  • interpolation of operators
  • norms of linear operators
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.

Pages (from - to)

99 - 103

DOI

10.4064/cm8942-10-2022

URL

https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/colloquium-mathematicum/all/172/1/114908/a-simple-proof-of-the-real-riesz-thorin-interpolation-theorem-in-the-lower-triangle

Ministry points / journal

70

Impact Factor

0,4

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