Norms of basic elementary operators on algebras of regular operators
| Data(s) |
2015
|
|---|---|
| Resumo |
We show that if<i> E </i>is an atomic Banach lattice with an ordercontinuous norm, <i>A, B ∈ L<sup>r</sup>(E)</i> and <i>M<sub>A</sub>,<sub>B</sub></i> is the operator on <i>L<sup>r</sup>(E)</i> defined by <i>M<sub>A</sub>,<sub>B</sub>(T)</i> = <i>AT B </i>then ||<i>M</i><sub style="font-style: italic;">A</sub><i>,</i><sub style="font-style: italic;">B</sub>||<i>r = </i>||<i>A</i>||<sub style="font-style: italic;">r</sub><sub>|</sub><sub>|</sub><i>B</i>||<sub style="font-style: italic;">r</sub> but that there is no real α > 0 such that ||<i>MA,B </i>|| ≥ <i>α </i>||<i>A</i>||<i>r</i>||<i>B </i>||<i>r.</i> |
| Formato |
application/pdf |
| Identificador |
http://dx.doi.org/10.1090/proc/12664 http://pure.qub.ac.uk/ws/files/16393863/Basic_Elementary_Operators_PAMS.pdf |
| Idioma(s) |
eng |
| Direitos |
info:eu-repo/semantics/openAccess |
| Fonte |
Wickstead , A W 2015 , ' Norms of basic elementary operators on algebras of regular operators ' Proceedings of the American Mathematical Society . DOI: 10.1090/proc/12664 |
| Palavras-Chave | #Regular operators, basic elementary operators, Banach lattices #/dk/atira/pure/subjectarea/asjc/2600 #Mathematics(all) |
| Tipo |
article |
