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Enveloping norms of regularly P-operators in Banach lattices
Date
2024-07-01
Author
Alpay, Safak
Emelyanov, Eduard
Gorokhova, Svetlana
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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The span of positive linear operators belonging to an operator linear class P and acting between Banach lattices is rarely a Banach space under the operator norm. We investigate the enveloping norm ‖S‖r-P=inf{‖T‖:±S≤T∈P} on span(P+(E,F)) that is complete under rather mild assumptions on P.
Subject Keywords
46B25
,
46B42
,
46B50
,
47B60
,
Banach lattice
,
Enveloping norm
,
Operator linear class
,
Regularly P-operator
URI
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85192998573&origin=inward
https://hdl.handle.net/11511/109964
Journal
Positivity
DOI
https://doi.org/10.1007/s11117-024-01055-2
Collections
Department of Mathematics, Article
Citation Formats
IEEE
ACM
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MLA
BibTeX
S. Alpay, E. Emelyanov, and S. Gorokhova, “Enveloping norms of regularly P-operators in Banach lattices,”
Positivity
, vol. 28, no. 3, pp. 0–0, 2024, Accessed: 00, 2024. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85192998573&origin=inward.
