Enveloping norms of regularly P-operators in Banach lattices

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 a...

Full description

Saved in:
Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2024-07, Vol.28 (3), p.37, Article 37
Main Authors: Alpay, Safak, Emelyanov, Eduard, Gorokhova, Svetlana
Format: Article
Language:English
Subjects:
Banach spaces
Calculus of Variations and Optimal Control
Optimization
Econometrics
Fourier Analysis
Lattices (mathematics)
Linear operators
Mathematics
Mathematics and Statistics
Norms
Operator Theory
Operators (mathematics)
Potential Theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-024-01055-2