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Remarks on countable subadditivity

Part of: Harmonic analysis in several variables Harmonic analysis in one variable General theory of linear operators

Published online by Cambridge University Press:  23 August 2023

Loukas Grafakos Open the ORCID record for Loukas Grafakos [Opens in a new window]  and
Monica Vişan
Loukas Grafakos
Affiliation:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA (grafakosl@umsystem.edu)
Monica Vişan
Affiliation:
Department of Mathematics, University of California, Los Angeles, CA 90095, USA (visan@math.ucla.edu)
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Abstract

We discuss how countable subadditivity of operators can be derived from subadditivity under mild forms of continuity, and provide examples manifesting such circumstances.

Keywords

Interpolationadditivitysubadditivity

MSC classification

Primary: 47A30: Norms (inequalities, more than one norm, etc.)
Secondary: 47A63: Operator inequalities 42A99: None of the above, but in this section 42B35: Function spaces arising in harmonic analysis
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , First View , pp. 1 - 14
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Copyright
Copyright © The Author(s), 2023. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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