Enveloping norms of regularly P-operators in Banach lattices Full article
| Journal |
Positivity
ISSN: 1385-1292 , E-ISSN: 1572-9281 |
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| Output data | Year: 2024, Volume: 28, Number: 3, Article number : 37, Pages count : 10 DOI: 10.1007/s11117-024-01055-2 | ||||||
| Tags | Operator linear class · Banach lattice · Regularly P-operator · Enveloping norm | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0004 |
Abstract:
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 Sr-P = inf{T :±S ≤ T ∈ P} on span(P+(E, F)) that is complete under rather mild assumptions on P.
Cite:
Alpay S.
, Emelyanov E.
, Gorokhova S.
Enveloping norms of regularly P-operators in Banach lattices
Positivity. 2024. V.28. N3. 37 :1-10. DOI: 10.1007/s11117-024-01055-2 WOS Scopus РИНЦ OpenAlex
Enveloping norms of regularly P-operators in Banach lattices
Positivity. 2024. V.28. N3. 37 :1-10. DOI: 10.1007/s11117-024-01055-2 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 20, 2023 |
| Accepted: | Apr 24, 2024 |
| Published print: | May 12, 2024 |
| Published online: | May 12, 2024 |
Identifiers:
| Web of science: | WOS:001220166300001 |
| Scopus: | 2-s2.0-85192998573 |
| Elibrary: | 67593902 |
| OpenAlex: | W4396846449 |